Playlists are empty after I integrated the music library (from old Macboook) into my new Macbook

I have a problem with the Music app on my new Macbook Pro. All my playlists are empty, although I integrated the current library.itl from my old Macbook pro (ventura 13.4) into my new Macbook pro (Sonoma 14.1). So I can see them, but they are all empty. I dont know where the "lost connection" between playlists, the music and library is.

On my old Macbook I stored the music on an external device. On the new Macbook I just put it on its own hard drive. May there be the problem?

I tried everything else. Create new library, etc.

Thanks in advance for your help

Greetings,

Chris