omegaze Lutris uses Wine, Wine does not support UWP applications. I tried copying the appx files over to a Linux install with latest wine-staging, and running the EXE directly, but the app crashes with a memory access violation error. Probably because Wine does not support UWP apps whatsoever indeed. Plus, I'm guessing there is some sort of license verification that depends on the Microsoft Store and various Windows services, that are definitely not emulated on Linux - but this is just a guess.
For now, as already suggested, the most viable (although very hacky since you need a whole emulated OS and GApps + certification) method is via Waydroid, or a Windows VM I guess.