I'd recommend using proton over the Linux builds for this game cause the Linux application formats are terrible right now (and this game doesn't work because of it, but its hardly the dev's fault). Maybe in the future Linux will have a better format but for now just use proton. (Add the windows executable: Game.exe as a non-steam game, then force compatibility tools.)
If you want to make the game playable for Linux users natively, I recommend the AppImage format, it works basically the same as the macOS .app format for your purposes.