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  <xs:element name="ClassOfWarrantOrRightRedemptionOfWarrantOrRightThresholdCommencementPeriodAfterInitialBusinessCombinationClosing" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_ClassOfWarrantOrRightRedemptionOfWarrantOrRightThresholdCommencementPeriodAfterInitialBusinessCombinationClosing"/>
  <xs:element name="PrivatePlacementDetailsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrldt:hypercubeItem" id="cmiii_PrivatePlacementDetailsTable"/>
  <xs:element name="PrivatePlacementDetailsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_PrivatePlacementDetailsLineItems"/>
  <xs:element name="NumberOfOrdinaryShares" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_NumberOfOrdinaryShares"/>
  <xs:element name="ExercisableAfterTheCompletionOfTheInitialBusinessCombination" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_ExercisableAfterTheCompletionOfTheInitialBusinessCombination"/>
  <xs:element name="InitialBusinessCombinationExercisableCompletionTerm" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_InitialBusinessCombinationExercisableCompletionTerm"/>
  <xs:element name="InitialBusinessCombinationExercisableTerm" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_InitialBusinessCombinationExercisableTerm"/>
  <xs:element name="RelatedPartyTransactionsDetailsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrldt:hypercubeItem" id="cmiii_RelatedPartyTransactionsDetailsTable"/>
  <xs:element name="RelatedPartyTransactionsDetailsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RelatedPartyTransactionsDetailsLineItems"/>
  <xs:element name="MaximumNumberOfSharesSubjectToForfeiture" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" substitutionGroup="xbrli:item" id="cmiii_MaximumNumberOfSharesSubjectToForfeiture"/>
  <xs:element name="InterestEquivalentAggregateShares" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_InterestEquivalentAggregateShares"/>
  <xs:element name="FairValueAmountIssued" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="cmiii_FairValueAmountIssued"/>
  <xs:element name="MarketableValuePerShare" type="dtr:perShareItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_MarketableValuePerShare"/>
  <xs:element name="InitialBusinessCombination" type="dtr:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_InitialBusinessCombination"/>
  <xs:element name="RedeemPublicSharesPercentage" type="dtr:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RedeemPublicSharesPercentage"/>
  <xs:element name="RelatedPartyTransactionMonthlyAdministrativeExpenses" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RelatedPartyTransactionMonthlyAdministrativeExpenses"/>
  <xs:element name="CommitmentsandContingenciesDetailsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrldt:hypercubeItem" id="cmiii_CommitmentsandContingenciesDetailsTable"/>
  <xs:element name="CommitmentsandContingenciesDetailsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_CommitmentsandContingenciesDetailsLineItems"/>
  <xs:element name="OverAllotmentPeriod" type="xbrli:durationItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_OverAllotmentPeriod"/>
  <xs:element name="MaximumNumberOfAdditionalUnitsOfferedForPurchase" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" substitutionGroup="xbrli:item" id="cmiii_MaximumNumberOfAdditionalUnitsOfferedForPurchase"/>
  <xs:element name="CashUnderwritingDiscountPercent" type="dtr:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_CashUnderwritingDiscountPercent"/>
  <xs:element name="CashUnderwritingDiscountGrossProceeds" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" xbrli:balance="debit" nillable="true" substitutionGroup="xbrli:item" id="cmiii_CashUnderwritingDiscountGrossProceeds"/>
  <xs:element name="ShareholdersDeficitEquityDetailsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrldt:hypercubeItem" id="cmiii_ShareholdersDeficitEquityDetailsTable"/>
  <xs:element name="ShareholdersDeficitEquityDetailsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_ShareholdersDeficitEquityDetailsLineItems"/>
  <xs:element name="SubsequentEventsDetailsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrldt:hypercubeItem" id="cmiii_SubsequentEventsDetailsTable"/>
  <xs:element name="SubsequentEventsDetailsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_SubsequentEventsDetailsLineItems"/>
  <xs:element name="AdministrativeServicesAgreementMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_AdministrativeServicesAgreementMember"/>
  <xs:element name="ClassAOrdinarySharesParValue00001PerShareMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_ClassAOrdinarySharesParValue00001PerShareMember"/>
  <xs:element name="FounderShareMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_FounderShareMember"/>
  <xs:element name="PrivatePlacementUnitsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_PrivatePlacementUnitsMember"/>
  <xs:element name="PrivatePlacementWarrantsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_PrivatePlacementWarrantsMember"/>
  <xs:element name="PromissoryNoteMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_PromissoryNoteMember"/>
  <xs:element name="PublicWarrantsMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_PublicWarrantsMember"/>
  <xs:element name="RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150PerShareMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RedeemableWarrantsEachWholeWarrantExercisableForOneClassAOrdinaryShareAtAnExercisePriceOf1150PerShareMember"/>
  <xs:element name="RelatedPartyPromissoryNoteLoanMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RelatedPartyPromissoryNoteLoanMember"/>
  <xs:element name="RepresentativesMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_RepresentativesMember"/>
  <xs:element name="SponsorMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_SponsorMember"/>
  <xs:element name="UnitsEachConsistingOfOneClassAOrdinaryShareAndOnethirdOfOneRedeemableWarrantMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_UnitsEachConsistingOfOneClassAOrdinaryShareAndOnethirdOfOneRedeemableWarrantMember"/>
  <xs:element name="WorkingCapitalLoansMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_WorkingCapitalLoansMember"/>
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  <xs:element name="DocumentAndEntityInformationAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="cmiii_DocumentAndEntityInformationAbstract"/>
</xs:schema>
