You don't install "wine" together with your game. You USE wine to install your game already using the windows installer

Also: Packing something together with your game on linux is bad, as you are exposing the user to vulnerabilities in your packed packages.

My advice is: Provide your game as package for the distributions you want to target, but don't provide the game data with it.

So if a user buys your game (for windows), he just has to copy the stuff to a folder and install the game via packet manager

For Gamestudio, this means you can roll out updates for your game exe and maybe some files and the user only buys the WRS for linux.

But no, i don't own a Mac as well