GOG Support was able to help me out. I'm not able to share any links for some reason, but here's the advice:
Please try changing the version of Wineskin and Wine engine. To do this you will need to install Wineskin Winery from here:
wineskin.urgesoftware.com/tiki-index.php?page=Downloads
Start the application and use it to download additional versions of Wine (by clicking +).
Now you should be able to right click the game's app, select Show Package Contents and run Wineskin.app.
If the Wineskin.app is not there go to Contents > Resources > game, right-click the game's app select Show Package Contents and open Wineskin.app.
In the Advanced options change the engine to the one you have downloaded.
wineskin.urgesoftware.com/tiki-index.php?page=Manual+2.1+Updates
wineskin.urgesoftware.com/tiki-index.php?page=Manual+4.5+Advanced+-+Tools
Please also check if this advice helps:
wineskin.urgesoftware.com/tiki-view_blog_post.php?postId=87