Shadow of the Tomb Raider: many issues with Steam version

So I started playing the survivor trilogy and I'm in part three now. One and two had no issues, but with this one I don't know what to do.

It started out great. I couldn't save for some reason but I played a bit until I died for the first time (at the cliffs near the dig site). No problen I thought - until I realized the game didn't auto save. So I started at the very beginning again, had to rewatch all the cut scenes. Here I noticed it wasn't picking up my select key in game, as I couldn't skip. I kept playing, now able to save manually until I reached the part where the first cave collapses and a cut scene plays that puts you in the village. After the cave scene the screen stays dark and I can press buttons to jump and stuff, but no village scene.

I tried Proton 9, 10, experimental, hotfix and native Linux of course, but no luck. I'm on Bazzite. Any ideas on what to do?