Computer Authorization (Music), Monterrey, seems broken

Monterrey 12.0.1.

I'm putting together a playlist for an upcoming party, and find that a number of songs listed in Music pop-up "In order to play this song (title) you must authorize using Apple ID <ID>".

So in Music, I go to Account>Authorizations>Authorize This Computer, authenticate with my Apple ID, receive the "Authorization Successful (1 of 5 devices)" message.

Try to play the song again, and STILL get the requirement to authorize using my current Apple ID.

What to do? This is a little absurd!