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

    <schemaVersion>X0607</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2026-07-01</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0002097545</issuerCik>
        <issuerName>AMG BBH Asset-Backed Credit Fund, LLC</issuerName>
        <issuerTradingSymbol>BBASX</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000014661</rptOwnerCik>
            <rptOwnerName>BROWN BROTHERS HARRIMAN &amp; CO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>140 BROADWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>true</isOther>
            <otherText>See Footnote (1)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class S units of beneficial interest</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>354720.47</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares beneficially owned by Brown Brothers Harriman Credit Partners, LLC, a Delaware limited liability company (&quot;Credit Partners&quot;) as of the date of filing of this Form 3. Credit Partners beneficially owned 309,024.4894 shares as of July 1, 2026. Credit Partners, which Credit Partners serves as the investment adviser to the Issuer, is a majority-owned subsidiary of the Reporting Person.  As a result, the Reporting Person may be deemed to beneficially own the securities directly owned by Credit Partners. Does not include shares held for the accounts of  certain discretionary client accounts for which the Reporting Person serves as a fiduciary and in which the Reporting Person has no pecuniary interest.</footnote>
        <footnote id="F2">The Reporting Person disclaims beneficial ownership of the securities reported herein except to the extent of its pecuniary interest therein, and the filing of this Form 3 shall not be construed as an admission that either Reporting Person is the beneficial owner of any such securities for purposes of Section 13(d) or Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>BROWN BROTHERS HARRIMAN &amp; CO., By: /s/ Christian Brunet, Partner</signatureName>
        <signatureDate>2026-07-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
