I was able to run the GOG version with Wine 3.0.3 32-bit (32-bit Wine prefix) last year without any problems.
Game version: setup_full_spectrum_warrior_2.1.0.7.exe
PlayOnLinux 4.3.4
Windows 7 in Wine Config
overrides:
- POL_Install_corefonts
- POL_Install_d3dx9
- POL_Install_tahoma
You can change the games resolution manually here:
/home/username/.PlayOnLinux/wineprefix/fullspectrumwarrior/drive_c/GOG Games/Full Spectrum Warrior/Resolution.cfg