I doubt that you can upgrade a52q from s to t without Android 13 stock ROM.
The updater script in the e-2.0-t-20240507399779-dev-a52q.zip ROM does indeed contain this
abort("ERROR: This package requires Android 13 based firmware. Please upgrade firmware and retry!"););
This is quite different from the enchilada download in the link you quoted (which was well informed for that device by this thread).