Can't get 2015 Macbook Air 11" to boot

My 2015 Macbook Air 11" - running the latest macOS version (Big Sur) but I can't double check the version number because I can't boot the machine. The other day it simply shut down and gave me the black screen with the white "Your computer was restarted because of a problem" text in various languages. My login screen loads, I type in my admin password and it goes back to the black screen with the white text.

I tried rebooting in Recovery mode. I ran Disk Utility First Aid and it said it could not complete the First Aid process.

I tried re-installing from Time Machine backups but it said it could not "roll back."

I tried re-installing macOS and it said it could not complete the process.

What else can I try to get my machine to boot again so I can get my stuff off it and then format it?