OP:
If nothing else works, you could try the free "Retroactive" app to make iTunes run on Sonoma.
Get it here:
Retroactive has been discontinued, and does not support macOS Sequoia or later. You should transition from Retroactive to a wide range of supported apps, many of which are built into macOS or free ...
github.com
(download the zip file)
It's been discontinued by the author with the release of Sequoia, but I know for a fact it will still work for iTunes in Sonoma.
Again, just something to try if you find that the "Music" app isn't working out.