The Linux version I just have looks like it's a Windows version. I could (try) run it in Wine, but itch.io doesn't really handle that.
I've also found that running stuff in Wine can be a pain to get to work correctly. I had tried other ways of handling that (there was a game management system that showed some promise that I tried because someone I knew was asking).
In the itch.io app it fails to launch, and I can't see immediately anything to do other than try to run it in Wine.