Move 'Apple Music' to a new mac

Hi,

finally I switched to Apple Silicon (Mac Mini 2023). Now I move my Apps & Data to the new machine manually to avoid moving 10 year old "data zombies" from the old machine.

That worked pretty good so far, but now I have a problem with Apple Music: I moved all the songs to the new machine and imported them into a new media library in Music - that was probably a mistake. All my ratings (stars) and usage statistics were gone.

How can I transfer the old Apple-Music-installation to my new mac without loosing those meta data? The old mac is still there, so all the source data is available (macOS Catalina).

Regards - Matthias