Did you try using Proton? That might work if vanilla Wine doesn't. I also forgot to mention my default Wineprefix has DXVK installed so you might want to try installing that using winetricks first
I'm trying via Wine vanilla, I also tried installing the dlls of directx 10 and 11 via winetriks but without success. I also tried Lutris and nothing. On the other computer with the same system via Wine he enters only by running the .exe
I don't know how to use Proton outside of Steam.
You should be able to play from here: https://www.thirdcrisis.com
