<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-02-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0002033991</issuerCik>
        <issuerName>Texas Ventures Acquisition III Corp</issuerName>
        <issuerTradingSymbol>TVA</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001271848</rptOwnerCik>
            <rptOwnerName>ANGELO MARK</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O TEXAS VENTURES ACQUISITION III CORP</rptOwnerStreet1>
            <rptOwnerStreet2>1012 SPRINGFIELD AVENUE</rptOwnerStreet2>
            <rptOwnerCity>MOUNTAINSIDE</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07092</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001463928</rptOwnerCik>
            <rptOwnerName>YA II PN, Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O TEXAS VENTURES ACQUISITION III CORP</rptOwnerStreet1>
            <rptOwnerStreet2>1012 SPRINGFIELD AVENUE</rptOwnerStreet2>
            <rptOwnerCity>MOUNTAINSIDE</rptOwnerCity>
            <rptOwnerState>NJ</rptOwnerState>
            <rptOwnerZipCode>07092</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2026-02-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>125000</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.4785</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1050000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On February 27, 2026, YA II PN, Ltd. (&quot;YA II PN&quot;) purchased 125,000 Class A ordinary shares on the open market at a price of $10.4785 per share.</footnote>
        <footnote id="F2">Yorkville Advisors Global, LP (&quot;Yorkville LP&quot;) is the investment manager of YA II PN. Yorkville Advisors Global II, LLC (&quot;Yorkville LLC&quot;) is the General Partner Yorkville LP. Mr. Angelo serves as President and Managing Member of Yorkville LP, and as President and Managing Member of Yorkville LLC. All investment decisions for YA II PN are made by Mark Angelo. As such, Mr. Angelo may be deemed to have beneficial ownership of the securities held by YA II PN. Mr. Angelo disclaims any beneficial ownership of the reported securities, except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>By: /s/ Mark Angelo</signatureName>
        <signatureDate>2026-06-22</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>By: /s/ Mark Angelo, YA II PN, Ltd.</signatureName>
        <signatureDate>2026-06-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
