Steam on Linux works really well now. I sort of built my own steam machine a few months back with a framework desktop that now sits in my TV rack. Gaming on it is a really good experience. Had to buy a PS5 controller though because I could not get the XBOX controller to work over bluetooth which was a bit of a bummer. For me the new controller is most interesting as most games have XBOX controller support (with xbox button captions) and the steam controller adopts the button naming.

I just built one of these as well. For your Xbox controller, see if this works: find any Windows PC and download the Xbox Accessories app. Connect the controller (via USB) and update its firmware. Once I did this, I was able to pair it with the framework desktop via bluetooth (under linux) reliably, and it's been rock solid ever since. Apparently some of the models shipped with buggy firmware that linux really doesn't like for whatever reason.