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    <periodOfReport>2023-08-14</periodOfReport>

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    <issuer>
        <issuerCik>0001720580</issuerCik>
        <issuerName>Adicet Bio, Inc.</issuerName>
        <issuerTradingSymbol>ACET</issuerTradingSymbol>
    </issuer>

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        <reportingOwnerId>
            <rptOwnerCik>0001340875</rptOwnerCik>
            <rptOwnerName>Schor Chen</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ADICET BIO, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>200 BERKELEY STREET, 19TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President &amp; CEO</officerTitle>
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    <footnotes>
        <footnote id="F1">Reflects 1-for-7 reverse stock split effected by the Issuer on September 15, 2020.</footnote>
        <footnote id="F2">On August 8, 2023, the Issuer's Board of Directors approved an option repricing (the &quot;Repricing&quot;), effective as of August 14, 2023 (the &quot;Effective Date&quot;). All of the other terms of the options remain unchanged. Such transactions were exempt pursuant to Rule 16b-6(d) and Rule 16b-3 of the Exchange Act, as applicable.</footnote>
        <footnote id="F3">The shares subject to this option are fully vested and exercisable as of the date hereof.</footnote>
        <footnote id="F4">The exercise price of the option is $2.14 per share, representing the fair market value per share of the Issuer's Common Stock on the Effective Date; provided that the repriced option will revert to its original exercise price if, prior to the first anniversary of the Effective Date, (a) the Reporting Person's employment is terminated by the Issuer with cause or by the Reporting Person or (b) the option is exercised.</footnote>
        <footnote id="F5">The shares subject to this option shall vest in forty-eight (48) equal installments on each monthly anniversary following September 17, 2020, subject to the Reporting Person's continued service with the Issuer as of the applicable vesting date.</footnote>
        <footnote id="F6">The shares subject to this option shall vest in forty-eight (48) equal installments on each monthly anniversary following January 13, 2021, subject to the Reporting Person's continued service with the Issuer as of the applicable vesting date.</footnote>
        <footnote id="F7">The shares subject to this option shall vest in forty-eight (48) equal installments on each monthly anniversary following February 12, 2021, subject to the Reporting Person's continued service with the Issuer as of the applicable vesting date.</footnote>
        <footnote id="F8">The shares subject to this option shall vest in forty-eight (48) equal installments on each monthly anniversary following January 7, 2022, subject to the Reporting Person's continued service with the Issuer as of the applicable vesting date.</footnote>
        <footnote id="F9">The shares subject to this option shall vest in forty-eight (48) equal installments on each monthly anniversary following January 24, 2023, subject to the Reporting Person's continued service with the Issuer as of the applicable vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Nick Harvey, Attorney-in-Fact</signatureName>
        <signatureDate>2023-08-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
