Why I'm not getting the nonce in the ID token when using the Sign In with Google One Tap UX in ITP browsers / Safari?

Question

I have a test web app, with the Sign In with Google button + One Tap UX configured with a data-nonce :

      <div
        id="g_id_onload"
        data-client_id="<%=google_client_id%>"
        data-context="signin"
        data-ux_mode="popup"
        data-login_uri="<%=site_address%>/sign-in-with-google-callback"
        data-nonce="<%=idTokenNonce%>"
        data-itp_support="true"
      ></div>

      <div
        class="g_id_signin"
        data-type="standard"
        data-shape="rectangular"
        data-theme="outline"
        data-text="signin_with"
        data-size="large"
        data-logo_alignment="left"
      ></div>

On Chrome (and the other non-ITP browsers) both buttons work properly and I receive the ID token (JWT) that contains a claim nonce with the nonce that I specified when rendering the page.

On Safari (ITP) with "Prevent cross-site tracking" the regular button produces a id token that has the nonce. But if I login using the One Tap (upgraded One Tap UX on ITP browsers) I get a ID token but that JWT does not contain any nonce claim.

Is there anything I could do to get the nonce to work also for the "upgraded One Tap UX on ITP browsers"?