Large Apple Music MacOS library on external SSD - taking hours to save library on quit - how to troubleshoot?

I have a large music library (200GB/14.000 tracks), with files spanning well over a decade. I'm on a temporary Mac for the next month or two, so I'm keeping the files and library on an extremely fast external SSD (Sandisk Extreme Pro - Thunderbolt 3). When I quit the Music app on macOS, a popup alert window that reads "Saving Music Library..." appears, and then just... doesn't go away. The program is not unresponsive according to the Finder/the Force Quit dialogue. It's just trying to save, and it's taking forever. I don't know if this is an SSD issue or not. The library contains thousands of hours of work, so I'm apprehensive about cutting down the library. Setup: - MacBook Pro M1 Max - 64GB memory - Music Version 1.2.4. As a layman, I would hope I could look at logs or something, to see what may be causing these delays. Is there a way to isolate or troubleshoot this sort of problem?