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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2024-09-25</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001828588</issuerCik>
        <issuerName>Hanover Bancorp, Inc. /NY</issuerName>
        <issuerTradingSymbol>HNVR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002039945</rptOwnerCik>
            <rptOwnerName>Thaden Michael</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>CASTLE CREEK CAPITAL</rptOwnerStreet1>
            <rptOwnerStreet2>11682 EL CAMINO REAL, SUITE 320</rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92130</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>No securities are beneficially owned</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote 1</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Reporting Person was appointed to the Issuer's Board of Directors as the representative of Castle Creek Capital Partners VIII, LP, (&quot;Castle Creek&quot;) of which he is a Director.  Securities owned or deemed to be owned by Castle Creek are not regarded as being beneficially owned by the Reporting Person pursuant to applicable SEC Rules.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Gregory Krauss, POA</signatureName>
        <signatureDate>2024-10-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
