<?xml version="1.0" encoding="us-ascii"?>
<!--XBRL document created with Toppan Merrill Bridge  10.1.0.3 -->
<!--Based on XBRL 2.1-->
<!--Created on: 11/14/2022 12:47:49 PM-->
<!--Modified on: 11/14/2022 12:47:49 PM-->
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  <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_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_IncreaseDecreaseFranchiseTaxPayable" name="IncreaseDecreaseFranchiseTaxPayable" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" 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_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_AccruedOfferingCosts" name="AccruedOfferingCosts" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" 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" />
  <element id="brkh_WorkingCapital" name="WorkingCapital" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" xmlns="http://www.w3.org/2001/XMLSchema" abstract="false" />
  <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="OverfundingFromPrivatePlacements" id="brkh_OverfundingFromPrivatePlacements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ClassOrdinarySharesIssuanceCosts" id="brkh_ClassOrdinarySharesIssuanceCosts" 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="WorkingCapitalLoans" id="brkh_WorkingCapitalLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CashAndMarketableSecuritiesMember" id="brkh_CashAndMarketableSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <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="ProceedsFromIssuanceOfFounderShares" id="brkh_ProceedsFromIssuanceOfFounderShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" 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:positiveIntegerItemType" 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="OutOfPeriodItem" id="brkh_OutOfPeriodItem" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="OutOfPeriodItemTextBlock" id="brkh_OutOfPeriodItemTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="FranchiseTaxPayable" id="brkh_FranchiseTaxPayable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
</xsd:schema>
