Apple Music - songs greyed out after update to iOS 16

Hi,

after upgrade to iOS 16 and Ventura, I've noticed that about 50% of songs in my library is greyed out and not playable.

When I search for the songs on Apple Music, they are still there and are playable. So I can delete it from my library and add them again. However, there ate hundreds (thousands?) of them so it is not possible. I've tried to sign out/in to Apple Music, restart devices etc. but nothing worked. Any idea?

I'm not 100% sure, whether it is linked to the latest updates or not, I just noticed it after the update.

The problem is the same on all of my devices.

Thanks,

Jakub