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<!--Created on: 8/13/2024 6:37:21 PM-->
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  <element id="brkh_ClassOfWarrantOrRightPriceOfWarrantsOrRights" name="ClassOfWarrantOrRightPriceOfWarrantsOrRights" nillable="true" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_SponsorMember" name="SponsorMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_NumberOfSharesSubjectToForfeiture" name="NumberOfSharesSubjectToForfeiture" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PercentageOfIssuedAndOutstandingSharesAfterInitialPublicOfferingCollectivelyHeldByInitialStockholders" name="PercentageOfIssuedAndOutstandingSharesAfterInitialPublicOfferingCollectivelyHeldByInitialStockholders" nillable="true" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ThresholdPeriodForNotToTransferAssignOrSellAnySharesOrWarrantsAfterCompletionOfInitialBusinessCombination" name="ThresholdPeriodForNotToTransferAssignOrSellAnySharesOrWarrantsAfterCompletionOfInitialBusinessCombination" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_TransferAssignOrSellAnySharesOrWarrantsAfterCompletionOfInitialBusinessCombinationStockPriceTrigger" name="TransferAssignOrSellAnySharesOrWarrantsAfterCompletionOfInitialBusinessCombinationStockPriceTrigger" nillable="true" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ThresholdPeriodAfterBusinessCombinationInWhichSpecifiedTradingDaysWithinAnySpecifiedTradingDayPeriodCommences" name="ThresholdPeriodAfterBusinessCombinationInWhichSpecifiedTradingDaysWithinAnySpecifiedTradingDayPeriodCommences" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PromissoryNoteWithRelatedPartyMember" name="PromissoryNoteWithRelatedPartyMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_RelatedPartyLoansMember" name="RelatedPartyLoansMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_RelatedPartyTransactionExpensesFromTransactionsWithRelatedPartyPerMonth" name="RelatedPartyTransactionExpensesFromTransactionsWithRelatedPartyPerMonth" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_CommonStockNumberOfVotesPerShare" name="CommonStockNumberOfVotesPerShare" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_RedemptionOfWarrantsWhenPricePerShareOfClassCommonStockEqualsOrExceeds18.00Member" name="RedemptionOfWarrantsWhenPricePerShareOfClassCommonStockEqualsOrExceeds18.00Member" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ClassOfWarrantOrRightRedemptionPriceOfWarrantsOrRights" name="ClassOfWarrantOrRightRedemptionPriceOfWarrantsOrRights" nillable="true" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ClassOfWarrantOrRightMinimumThresholdWrittenNoticePeriodForRedemptionOfWarrants" name="ClassOfWarrantOrRightMinimumThresholdWrittenNoticePeriodForRedemptionOfWarrants" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdTradingDays" name="ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdTradingDays" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdConsecutiveTradingDays" name="ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdConsecutiveTradingDays" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PercentageOfGrossProceedsOnTotalEquityProceeds" name="PercentageOfGrossProceedsOnTotalEquityProceeds" nillable="true" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_MaximumLoansConvertibleIntoWarrants" name="MaximumLoansConvertibleIntoWarrants" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_RedemptionPeriod" name="RedemptionPeriod" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ThresholdNumberOfBusinessDaysBeforeSendingNoticeOfRedemptionToWarrantHolders" name="ThresholdNumberOfBusinessDaysBeforeSendingNoticeOfRedemptionToWarrantHolders" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_TransactionCosts" name="TransactionCosts" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_MaximumNumberOfDemandsForRegistrationOfSecurities" name="MaximumNumberOfDemandsForRegistrationOfSecurities" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_AdministrativeSupportAgreementMember" name="AdministrativeSupportAgreementMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_AggregateNumberOfSharesOwned" name="AggregateNumberOfSharesOwned" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_AssetsHeldInTrustAccountPolicyPolicyTextBlock" name="AssetsHeldInTrustAccountPolicyPolicyTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_TemporaryEquityPolicyPolicyTextBlock" name="TemporaryEquityPolicyPolicyTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PaymentsForInvestmentOfCashInTrustAccount" name="PaymentsForInvestmentOfCashInTrustAccount" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_WarrantsEachWholeWarrantExercisableForOneShareOfClassCommonStockAtExercisePriceMember" name="WarrantsEachWholeWarrantExercisableForOneShareOfClassCommonStockAtExercisePriceMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_DeferredOfferingCostsNoncurrent" name="DeferredOfferingCostsNoncurrent" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PublicWarrantsMember" name="PublicWarrantsMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_PrivatePlacementWarrantsMember" name="PrivatePlacementWarrantsMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ConditionForFutureBusinessCombinationNumberOfBusinessesMinimum" name="ConditionForFutureBusinessCombinationNumberOfBusinessesMinimum" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_CommonClassaSubjectToRedemptionMember" name="CommonClassaSubjectToRedemptionMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_CommonClassaNotSubjectToRedemptionMember" name="CommonClassaNotSubjectToRedemptionMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ConvertibleStockConversionRatio" name="ConvertibleStockConversionRatio" nillable="true" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_WorkingCapitalLoansWarrantMember" name="WorkingCapitalLoansWarrantMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_ConditionForFutureBusinessCombinationUseOfProceedsPercentage" name="ConditionForFutureBusinessCombinationUseOfProceedsPercentage" nillable="true" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_MaximumAllowedDissolutionExpenses" name="MaximumAllowedDissolutionExpenses" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <element id="brkh_FranchiseTaxExpense" name="FranchiseTaxExpense" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" xmlns="http://www.w3.org/2001/XMLSchema" />
  <xsd:element name="IncreaseDecreaseInOtherAssets" id="brkh_IncreaseDecreaseInOtherAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="InvestmentsMaximumMaturityTerm" id="brkh_InvestmentsMaximumMaturityTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnitPrice" id="brkh_UnitPrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ScheduleOfCondensedBalanceSheetAreReconciledTableTextBlock" id="brkh_ScheduleOfCondensedBalanceSheetAreReconciledTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AccretionOfCarryingValueToRedemptionValue" id="brkh_AccretionOfCarryingValueToRedemptionValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FounderSharesMember" id="brkh_FounderSharesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ThresholdTradingDaysForTransferAssignOrSaleOfSharesOrWarrantsAfterCompletionOfInitialBusinessCombination" id="brkh_ThresholdTradingDaysForTransferAssignOrSaleOfSharesOrWarrantsAfterCompletionOfInitialBusinessCombination" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdConsecutiveTradingDaysForTransferAssignOrSaleOfSharesOrWarrantsAfterCompletionOfInitialBusinessCombinations" id="brkh_ThresholdConsecutiveTradingDaysForTransferAssignOrSaleOfSharesOrWarrantsAfterCompletionOfInitialBusinessCombinations" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsAndRightsOutstandingExercisableTermAfterBusinessCombination" id="brkh_WarrantsAndRightsOutstandingExercisableTermAfterBusinessCombination" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="WarrantsAndRightsOutstandingExercisableTermFromClosingOfInitialPublicOffering" id="brkh_WarrantsAndRightsOutstandingExercisableTermFromClosingOfInitialPublicOffering" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdPeriodForRegistrationStatementToBeEffectiveAfterWhichWarrantsCanBeExercisedOnCashlessBasis" id="brkh_ThresholdPeriodForRegistrationStatementToBeEffectiveAfterWhichWarrantsCanBeExercisedOnCashlessBasis" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsStockPriceTrigger" id="brkh_ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsStockPriceTrigger" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdIssuePriceForCapitalRaisingPurposesInConnectionWithClosingOfBusinessCombination" id="brkh_ThresholdIssuePriceForCapitalRaisingPurposesInConnectionWithClosingOfBusinessCombination" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightAdjustmentOfExercisePriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice" id="brkh_ClassOfWarrantOrRightAdjustmentOfExercisePriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightAdjustmentOfRedemptionPriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice2" id="brkh_ClassOfWarrantOrRightAdjustmentOfRedemptionPriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice2" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ThresholdTradingDaysForCalculatingMarketValue" id="brkh_ThresholdTradingDaysForCalculatingMarketValue" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassBCommonStockNotSubjectToRedemptionMember" id="brkh_ClassBCommonStockNotSubjectToRedemptionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DepositInTrustAccount" id="brkh_DepositInTrustAccount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="UnderwritingCashDiscountPercentagePerUnit" id="brkh_UnderwritingCashDiscountPercentagePerUnit" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="DeferredUnderwritingDiscountPercentagePerUnit" id="brkh_DeferredUnderwritingDiscountPercentagePerUnit" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="SharePriceTriggerUsedToMeasureDilutionOfWarrants" id="brkh_SharePriceTriggerUsedToMeasureDilutionOfWarrants" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="MonthsToCompleteAcquisitions" id="brkh_MonthsToCompleteAcquisitions" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="UnitsEachConsistingOfOneShareOfClassaCommonStockAndOneRedeemableWarrantToPurchaseOneShareOfClassCommonStockFor11.50PerShareMember" id="brkh_UnitsEachConsistingOfOneShareOfClassaCommonStockAndOneRedeemableWarrantToPurchaseOneShareOfClassCommonStockFor11.50PerShareMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EmergingGrowthCompanyPolicyPolicyTextBlock" id="brkh_EmergingGrowthCompanyPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="FairValueOfSharesIssuedToUnderwriters" id="brkh_FairValueOfSharesIssuedToUnderwriters" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FranchiseTaxPayable" id="brkh_FranchiseTaxPayable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="U.s.MoneyMarketFundHeldInTrustAccountMember" id="brkh_U.s.MoneyMarketFundHeldInTrustAccountMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="InitialPublicOfferingTable" id="brkh_InitialPublicOfferingTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="InitialPublicOfferingLineItems" id="brkh_InitialPublicOfferingLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WarrantClassificationPolicyTextBlock" id="brkh_WarrantClassificationPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MaximumNumberOfSharesNotForRedemption" id="brkh_MaximumNumberOfSharesNotForRedemption" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="MaximumNumberOfSharesTransferredInExchangeForNotForRedemptionOfShares" id="brkh_MaximumNumberOfSharesTransferredInExchangeForNotForRedemptionOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="TemporaryEquityStockRedeemedDuringPeriodShares" id="brkh_TemporaryEquityStockRedeemedDuringPeriodShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="TemporaryEquityStockRedeemedDuringPeriodValue" id="brkh_TemporaryEquityStockRedeemedDuringPeriodValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NonRedemptionAgreementsMember" id="brkh_NonRedemptionAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ProbabilityOfSuccessfulBusinessCombinationMember" id="brkh_ProbabilityOfSuccessfulBusinessCombinationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EquityFairValueStockholderNonRedemptionAgreement" id="brkh_EquityFairValueStockholderNonRedemptionAgreement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AgreementFairValuePerShare" id="brkh_AgreementFairValuePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PercentageOfSharesRedeemed" id="brkh_PercentageOfSharesRedeemed" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="EquityStockholderNonRedemptionAgreement" id="brkh_EquityStockholderNonRedemptionAgreement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ExciseTaxLiabilityArisingFromRedemptionOfOrdinaryShares" id="brkh_ExciseTaxLiabilityArisingFromRedemptionOfOrdinaryShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DisclosureOfAccountingPoliciesTable" id="brkh_DisclosureOfAccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SummaryOfSignificantAccountingPoliciesLineItems" id="brkh_SummaryOfSignificantAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ProceedsFromInvestmentIntoTrustAccountToPayFranchiseAndIncomeTaxes" id="brkh_ProceedsFromInvestmentIntoTrustAccountToPayFranchiseAndIncomeTaxes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ProceedsFromInvestmentIntoTrustAccountInConnectionWithRedemptions" id="brkh_ProceedsFromInvestmentIntoTrustAccountInConnectionWithRedemptions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PaymentsForRedemptionOfCommonStock" id="brkh_PaymentsForRedemptionOfCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="TemporaryEquityStockRedeemedOrCalledDuringPeriodValue" id="brkh_TemporaryEquityStockRedeemedOrCalledDuringPeriodValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PrivatePlacementTable" id="brkh_PrivatePlacementTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PrivatePlacementLineItems" id="brkh_PrivatePlacementLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="IncreaseDecreaseInFranchiseTaxPayable" id="brkh_IncreaseDecreaseInFranchiseTaxPayable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ExciseTaxLiabilityArisingFromRedemptionOfClassShares" id="brkh_ExciseTaxLiabilityArisingFromRedemptionOfClassShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="NumberOfSubsidiaries" id="brkh_NumberOfSubsidiaries" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SecondTrustAmendmentMember" id="brkh_SecondTrustAmendmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfTimesEntityHasRightToExtendBusinessCombinationForAdditionalMonth" id="brkh_NumberOfTimesEntityHasRightToExtendBusinessCombinationForAdditionalMonth" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AdditionalTermToCompleteBusinessCombination" id="brkh_AdditionalTermToCompleteBusinessCombination" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AmountPerUnredeemedShareDepositedIntoTrustAccount" id="brkh_AmountPerUnredeemedShareDepositedIntoTrustAccount" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodSharesConversionFromOneClassOfStockToAnother" id="brkh_StockIssuedDuringPeriodSharesConversionFromOneClassOfStockToAnother" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DepositToTrustAccountExtensionPaymentPerMonth" id="brkh_DepositToTrustAccountExtensionPaymentPerMonth" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DueFromSponsorCurrent" id="brkh_DueFromSponsorCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DueToTrustAccountCurrent" id="brkh_DueToTrustAccountCurrent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ProceedsFromTrustAccountUsedToPayFranchiseAndIncomeTaxes" id="brkh_ProceedsFromTrustAccountUsedToPayFranchiseAndIncomeTaxes" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MinimumNetTangibleAssetsRequiredToConsummateBusinessCombination" id="brkh_MinimumNetTangibleAssetsRequiredToConsummateBusinessCombination" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="CashWithdrawnFromTrustAccountUsedForOperatingExpenses" id="brkh_CashWithdrawnFromTrustAccountUsedForOperatingExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="LockUpAgreementMember" id="brkh_LockUpAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MergerAgreementMember" id="brkh_MergerAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PercentageOfBeneficialOwnershipHeld" id="brkh_PercentageOfBeneficialOwnershipHeld" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="BackstopAmount" id="brkh_BackstopAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NumberOfSharesAgreedToForfeitBySponsorToBeEffectiveImmediatelyPriorToBusinessCombination" id="brkh_NumberOfSharesAgreedToForfeitBySponsorToBeEffectiveImmediatelyPriorToBusinessCombination" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="BasePurchasePrice" id="brkh_BasePurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="SharesConsideredForCalculatingProportionateShares" id="brkh_SharesConsideredForCalculatingProportionateShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AggregateReserveSizedUnderEquityIncentivePlanAndEsppPercentage" id="brkh_AggregateReserveSizedUnderEquityIncentivePlanAndEsppPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="EvergreenPercentageForEquityIncentivePlan" id="brkh_EvergreenPercentageForEquityIncentivePlan" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CashPaymentAgreedInLieuOfFullDeferredUnderwritingCommission" id="brkh_CashPaymentAgreedInLieuOfFullDeferredUnderwritingCommission" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="EfHuttonMember" id="brkh_EfHuttonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PaymentsForDepositsIntoTrustAccountForExtension" id="brkh_PaymentsForDepositsIntoTrustAccountForExtension" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="BackstopSubscriptionAgreementMember" id="brkh_BackstopSubscriptionAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MeasurementInputWeightedTermsMember" id="brkh_MeasurementInputWeightedTermsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MeasurementInputMarketImpliedLikelihoodOfInitialBusinessCombinationMember" id="brkh_MeasurementInputMarketImpliedLikelihoodOfInitialBusinessCombinationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
</xsd:schema>
