I wanna switch to linux but I can't due to anti cheat don't like linux. Huh a sad life in windows
EAC & BattlEye have official Linux support both natively & via Proton, however unfortunately only a few devs have enabled the said support in their game.
If you go here you can see what is and isn't currently working.
Last time I tried Fall Guys it didn't work, but that could be an issue specific to the game so I can't say for sure