Relate local files on NAS with iTunes Match after new installation

Hello everyone,

I purchased one of the recent MacBook Air's recently with Bug Sur in order to replace my old MacBook that had a major hardware error and couldn't be used anymore.

My Music/ iTunes library was already moved to my local NAS before and since I got a subscription for iTunes Match everything was the Cloud as well already. I set up my new MacBook Air without the Time Machine restore because I wanted a fresh system and change the media location to the NAS.

My current issue is now: Music shows all my music, but all files are shown as located in the Cloud. But since the local copies are located on my NAS, how can I relate the entries in my library with the file? When I download a file in the Music app, a copy is created on the NAS.

One option could be to delete all entries in Music and add all files from my NAS again. But I think this means I lose all my ratings and history, right?

Hope I could explain my issue a bit. Any ideas?

Thanks a million in advance!