Fascinating. I use Sublime daily on my M2 MacBook Air and haven't encountered this.
With all these GUI apps crashing and monitor problem, I wonder if there was an issue with his specific Mini Pro, like with the GPU.
Although in my case it might have been a specific Language Server Protocol (LSP) package I was using that was consuming 100%+ of my CPU (they fixed it).
Used to have an issue where my bluetooth headphones would annoyingly hiccup every minute or so while listening to music.
I've since kept the 3rd monitor on and haven't had any problems. So, if anyone has this problem, try fiddling with your DisplayLink connection: perhaps try disconnecting the adapter completely and/or try turning it off/on from the manager.