Use the SessionID for the auth cookie value

SessionIdDataFormat.cs

public sealed class SessionIdDataFormat : ISecureDataFormat<AuthenticationTicket>
{
    private const string SessionIdClaim = "Microsoft.AspNetCore.Authentication.Cookies-SessionId";

    public string Protect(AuthenticationTicket data) => data.Principal.FindFirst(SessionIdClaim).Value;

    public string Protect(AuthenticationTicket data, string purpose) => null != purpose ? null : Protect(data);

    public AuthenticationTicket Unprotect(string protectedText)
    {
        var claimsPrincipal = new ClaimsPrincipal();
        var claimsIdentity = new ClaimsIdentity();
        claimsIdentity.AddClaim(new Claim(SessionIdClaim, protectedText));
        claimsPrincipal.AddIdentity(claimsIdentity);
        return new AuthenticationTicket(claimsPrincipal, CookieAuthenticationDefaults.AuthenticationScheme);
    }

    public AuthenticationTicket Unprotect(string protectedText, string purpose) => null != purpose ? null : Unprotect(protectedText);
}

.AddCookie(options =>
{
  options.TicketDataFormat = new SessionIdDataFormat();
}