Apple Music library unknown error (4010) on Mac

Starting this morning, I am not able to connect to my Apple Music cloud library. I keep getting the following message:

The Cloud Music Library can’t be updated right now. An unknown error occurred (4010).

I've tried logging in and out of iCloud, logging in on another Mac computer, resetting warnings and caches in Music.

I have a 2020 iMac and a 2023 MacBook Pro 14" both running the latest OS.

[Re-Titled by Moderator]

Original Title: Apple Music