running on linux Mint, using the most recent version of the stable build of WINE. it refuses to run directly from executable, and it says that the executable is invalid when ran through itch.
I haven't used Mint much myself, but I installed it on a computer I have sitting around here to check. I was able to start and play the latest public build via its exe on Linux Mint 20.2 Cinnamon, using the 'wine64' package from the default mint repositories.
Do you only have a 32-bit version of WINE installed, by chance? That's the only thing I can think of at the moment.