Thank you for responding. Essentially, this is an issue that only appeared after upgrading to iOS 16.1 and then watch OS 9.1. Before that I could add and delete music using the iPhone’s Apple Watch app.
I checked storage and on a 32 gig watch, I had 1.65 gigs of music, so well below the limit. I have also force closed and restarted the Watch app and restarted the iPhone, with no change. I was still getting the never ending loop of an album being uploaded to the watch.
Finally, I went to the Watch’s music app and painstakingly removed every album that had been downloaded, one by one. At this point, the iPhone watch app no longer showed an album trying to load in a loop. Partial success! However, there are several playlists with multiple albums on each that I can not remove using the method you first suggested. Each time I select the … three dots, I get the following message.

However, I get no option to turn on Synch Library when I go to Settings>Music on my iPhone. At this point I just want to clear all music from the watch and start clean. Storage on the watch app now shows 897.6 mb of music on the watch. Any thoughts on how I can clear this last bit of music from the watch?