Typically when (some) 3D games don't work, I've found that 3D library support for one of the 32-bit or 64-bit binaries isn't present

Steam relies on the systemwide libraries

and the game bails or tries to do software rendering. I've hit some other users on here who have had the same issue.

It looks like the full versions of those are all run through Proton, are Windows binaries, though there are Linux-native demo binaries.

I have Dystopika myself.

installs

$ file Dystopika.exe 
Dystopika.exe: PE32+ executable for MS Windows 6.00 (GUI), x86-64, 7 sections
$

So probably 64-bit.

There's some environment variable that will force Proton to use the older Direct3D backend based on OpenGL (WineD3D) instead of Vulkan (DXVK). Let me see if I can find that.

searches

You want:

PROTON_USE_WINED3D=1 %command%

In the Steam launch properties for the game; that'll force it to use OpenGL instead of Vulkan. Here, it will run with or without it. Does that magically make it work?

One useful tool for debugging 3D issues is mangohud. If you stick it in the Steam launch properties before "%command%" and it can display anything at all, it'll show an overlay showing which API (WineD3D or DXVK) is being used as well as what the rendering device being used is, which will let you know whether it's trying to render using software or hardware. So MANGOHUD_CONFIG=full mangohud %command%.

On my system, Dystopika appears able to render in pure software (not at a great framerate, mind):

PROTON_USE_WINED3D=1 LIBGL_ALWAYS_SOFTWARE=1 MANGOHUD_CONFIG=full mangohud %command%

So I don't know if it'd be falling back to software causing that. Rendering in software is listed in the mangohud overlay as being "llvmpipe".

Another way to check that each path functions is to run the following programs, see if they display correctly and at a reasonable clip. They're in the mesa-utils-bin:i386 and mesa-utils-bin:amd64 packages on Debian, so probably same for Mint:

$ glxgears.i386-linux-gnu
$ glxgears.x86_64-linux-gnu
$ vkgears.i386-linux-gnu
$ vkgears.x86_64-linux-gnu

That'll be a simple test of all of the OpenGL and Vulkan 32-bit and 64-bit interfaces.