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<!--Created on: 3/2/2022 11:15:17 PM-->
<!--Modified on: 3/2/2022 11:15:17 PM-->
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  <xsd:element id="pmgmu_PromissoryNoteWithRelatedPartyMember" name="PromissoryNoteWithRelatedPartyMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_RelatedPartyTransactionExpensesFromTransactionsWithRelatedPartyPerMonth" name="RelatedPartyTransactionExpensesFromTransactionsWithRelatedPartyPerMonth" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_DeferredFeePerUnit" name="DeferredFeePerUnit" nillable="true" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_CommonStockNumberOfVotesPerShare" name="CommonStockNumberOfVotesPerShare" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_RedemptionOfWarrantsWhenPricePerShareOfClassCommonStockEqualsOrExceeds18.00Member" name="RedemptionOfWarrantsWhenPricePerShareOfClassCommonStockEqualsOrExceeds18.00Member" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightRedemptionPriceOfWarrantsOrRights" name="ClassOfWarrantOrRightRedemptionPriceOfWarrantsOrRights" nillable="true" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightMinimumThresholdWrittenNoticePeriodForRedemptionOfWarrants" name="ClassOfWarrantOrRightMinimumThresholdWrittenNoticePeriodForRedemptionOfWarrants" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdTradingDays" name="ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdTradingDays" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdConsecutiveTradingDays" name="ClassOfWarrantOrRightRedemptionOfWarrantsOrRightsThresholdConsecutiveTradingDays" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_MaximumLoansConvertibleIntoWarrants" name="MaximumLoansConvertibleIntoWarrants" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_MaximumBorrowingCapacityOfRelatedPartyPromissoryNote" name="MaximumBorrowingCapacityOfRelatedPartyPromissoryNote" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightAdjustmentOfRedemptionPriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice1" name="ClassOfWarrantOrRightAdjustmentOfRedemptionPriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrice1" nillable="true" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_RedemptionPeriod" name="RedemptionPeriod" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ThresholdNumberOfBusinessDaysBeforeSendingNoticeOfRedemptionToWarrantHolders" name="ThresholdNumberOfBusinessDaysBeforeSendingNoticeOfRedemptionToWarrantHolders" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_TransactionCosts" name="TransactionCosts" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_AggregateNumberOfSharesOwned" name="AggregateNumberOfSharesOwned" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_AssetsHeldInTrustAccountPolicyPolicyTextBlock" name="AssetsHeldInTrustAccountPolicyPolicyTextBlock" nillable="true" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_TemporaryEquityPolicyPolicyTextBlock" name="TemporaryEquityPolicyPolicyTextBlock" nillable="true" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_RedeemableWarrantsExercisableForClassCommonStockMember" name="RedeemableWarrantsExercisableForClassCommonStockMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_PaymentsForInvestmentOfCashInTrustAccount" name="PaymentsForInvestmentOfCashInTrustAccount" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_NetProceedsFromInitialPublicOffering" name="NetProceedsFromInitialPublicOffering" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_InitialClassificationOfCommonStockSubjectToPossibleRedemption" name="InitialClassificationOfCommonStockSubjectToPossibleRedemption" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_ChangeInValueOfCommonStockSubjectToPossibleRedemption" name="ChangeInValueOfCommonStockSubjectToPossibleRedemption" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_DeferredOfferingCostsNoncurrent" name="DeferredOfferingCostsNoncurrent" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_CommonStockSubjectToRedemptionMember" name="CommonStockSubjectToRedemptionMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_PublicWarrantsMember" name="PublicWarrantsMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_PrivatePlacementWarrantsMember" name="PrivatePlacementWarrantsMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ConditionForFutureBusinessCombinationNumberOfBusinessesMinimum" name="ConditionForFutureBusinessCombinationNumberOfBusinessesMinimum" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_CommonClassaSubjectToRedemptionMember" name="CommonClassaSubjectToRedemptionMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ConditionForFutureBusinessCombinationUseOfProceedsPercentage" name="ConditionForFutureBusinessCombinationUseOfProceedsPercentage" nillable="true" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ConditionForFutureBusinessCombinationThresholdNetTangibleAssets" name="ConditionForFutureBusinessCombinationThresholdNetTangibleAssets" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="debit" />
  <xsd:element id="pmgmu_RedemptionLimitPercentageWithoutPriorConsent" name="RedemptionLimitPercentageWithoutPriorConsent" nillable="true" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_TradingPeriodAfterBusinessCombinationUsedToMeasureDilutionOfWarrant" name="TradingPeriodAfterBusinessCombinationUsedToMeasureDilutionOfWarrant" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_RestrictionsOnTransferPeriodOfTimeAfterBusinessCombinationCompletion" name="RestrictionsOnTransferPeriodOfTimeAfterBusinessCombinationCompletion" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_PeriodOfTimeWithinWhichRegistrationStatementIsExpectedToBecomeEffective" name="PeriodOfTimeWithinWhichRegistrationStatementIsExpectedToBecomeEffective" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_MaximumPeriodAfterBusinessCombinationInWhichToFileRegistrationStatement" name="MaximumPeriodAfterBusinessCombinationInWhichToFileRegistrationStatement" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_WarrantExercisePeriodConditionTwo" name="WarrantExercisePeriodConditionTwo" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_WarrantExercisePeriodConditionOne" name="WarrantExercisePeriodConditionOne" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_WorkingCapitalLoans" name="WorkingCapitalLoans" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_DeferredUnderwritingDiscountNoncurrent" name="DeferredUnderwritingDiscountNoncurrent" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_TemporaryEquityWeightedAverageNumberOfSharesOutstandingBasicAndDiluted" name="TemporaryEquityWeightedAverageNumberOfSharesOutstandingBasicAndDiluted" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <element id="pmgmu_TemporaryEquityEarningsPerShareBasicAndDiluted" name="TemporaryEquityEarningsPerShareBasicAndDiluted" nillable="true" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xmlns="http://www.w3.org/2001/XMLSchema" />
  <xsd:element id="pmgmu_UnrealizedGainOnChangeInFairValueOfWarrants" name="UnrealizedGainOnChangeInFairValueOfWarrants" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_TransactionCostsOther" name="TransactionCostsOther" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_DeferredUnderwritersDiscountPayableChargedToAdditionalPaidInCapital" name="DeferredUnderwritersDiscountPayableChargedToAdditionalPaidInCapital" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_MeasurementInputAcquisitionProbabilityMember" name="MeasurementInputAcquisitionProbabilityMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_UnusualOrInfrequentItemsOrBothPolicyTextBlock" name="UnusualOrInfrequentItemsOrBothPolicyTextBlock" nillable="true" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_OfferingCostsAssociatedWithInitialPublicOfferingPolicyTextBlock" name="OfferingCostsAssociatedWithInitialPublicOfferingPolicyTextBlock" nillable="true" type="nonnum:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_CashAtOperatingBankAccount" name="CashAtOperatingBankAccount" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="debit" />
  <xsd:element id="pmgmu_WorkingCapital" name="WorkingCapital" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_MaximumNumberOfDemandsForRegistrationOfSecurities" name="MaximumNumberOfDemandsForRegistrationOfSecurities" nillable="true" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_FounderSharesMember" name="FounderSharesMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ThresholdPeriodFromClosingOfProposedPublicOfferingToConsummateInitialBusinessCombination" name="ThresholdPeriodFromClosingOfProposedPublicOfferingToConsummateInitialBusinessCombination" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ThresholdPeriodFromClosingOfProposedPublicOfferingToConsummateInitialBusinessCombinationAfterExtension" name="ThresholdPeriodFromClosingOfProposedPublicOfferingToConsummateInitialBusinessCombinationAfterExtension" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_AdvanceNoticePriorToApplicableDeadlineAffiliatesOrDesigneesMustDepositIntoTrustAccount" name="AdvanceNoticePriorToApplicableDeadlineAffiliatesOrDesigneesMustDepositIntoTrustAccount" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_NumberOfSharesNotSubjectToForfeiture" name="NumberOfSharesNotSubjectToForfeiture" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_AmountOfFederalDepositoryInsuranceCoverage" name="AmountOfFederalDepositoryInsuranceCoverage" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_TransactionCostsIncludedInOperationStatement" name="TransactionCostsIncludedInOperationStatement" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_TransactionCostsIncludedInEquityStatement" name="TransactionCostsIncludedInEquityStatement" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_NumeratorForCalculationOfEarningsPerShareAbstract" name="NumeratorForCalculationOfEarningsPerShareAbstract" nillable="true" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_DenominatorForCalculationOfEarningsPerShareAbstract" name="DenominatorForCalculationOfEarningsPerShareAbstract" nillable="true" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_WorkingCapitalLoanMember" name="WorkingCapitalLoanMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_AdministrativeServiceFeeMember" name="AdministrativeServiceFeeMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_PercentageOfGrossProceedsOnTotalEquityProceed" name="PercentageOfGrossProceedsOnTotalEquityProceed" nillable="true" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_Classofwarrantorrightredemptionofwarrantsorrightsstockpricetrigger" name="Classofwarrantorrightredemptionofwarrantsorrightsstockpricetrigger" nillable="true" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightAdjustmentOfExercisePriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrices" name="ClassOfWarrantOrRightAdjustmentOfExercisePriceOfWarrantsOrRightsPercentBasedOnMarketValueAndNewlyIssuedPrices" nillable="true" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_UnitsEachConsistingOfOneShareOfCommonStockAndOneThirdOfOneRedeemableWarrantMember" name="UnitsEachConsistingOfOneShareOfCommonStockAndOneThirdOfOneRedeemableWarrantMember" nillable="true" type="nonnum:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_InterestEarnedOnCashHeldInTrustAccount" name="InterestEarnedOnCashHeldInTrustAccount" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_PromissoryNoteRelatedParty" name="PromissoryNoteRelatedParty" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_ConversionOfWorkingCapitalLoansToPrivatePlacementWarrants" name="ConversionOfWorkingCapitalLoansToPrivatePlacementWarrants" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="pmgmu_InitialBusinessCombinationSharesIssuableAsPercentOfOutstandingShare" name="InitialBusinessCombinationSharesIssuableAsPercentOfOutstandingShare" nillable="true" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="pmgmu_InvestmentsMaximumMaturityTerm" name="InvestmentsMaximumMaturityTerm" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_DueToRelatedPartyAggregatePayable" name="DueToRelatedPartyAggregatePayable" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_ConvertibleStockConversionRatios" name="ConvertibleStockConversionRatios" nillable="true" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_SharePriceTriggerUsedToMeasureDilutionOfWarrant" name="SharePriceTriggerUsedToMeasureDilutionOfWarrant" nillable="true" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="pmgmu_IncreaseDecreaseFranchiseTaxPayable" name="IncreaseDecreaseFranchiseTaxPayable" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="pmgmu_ThresholdAmountToMaintainStockholdersEquity" name="ThresholdAmountToMaintainStockholdersEquity" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="pmgmu_MinimumNetTangibleAssetsUponConsummationOfBusinessCombination" name="MinimumNetTangibleAssetsUponConsummationOfBusinessCombination" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="debit" />
  <xsd:element id="pmgmu_ClassOfWarrantOrRightExercised" name="ClassOfWarrantOrRightExercised" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
</xsd:schema>
