I tried with few of the older Proton versions - 4.11 and 3.16. But there are few other problems who need to be solve:

1. Remove default wine prefix, because it was 64bits and build new 32bits prefix with those commands:

rm -rf /home/{user}/.steam/steam/steamapps/compatdata/214510/pfx

WINEARCH=win32 WINEPREFIX=/home/{user}/.steam/steam/steamapps/compatdata/214510/pfx winecfg

2. Then I needed few DLLs. You will need them even on Windows, but on Windows may be the better way is to isntall dxwebsetup package. On Linux I added them after I run Protontricks and then from wine config. First I select Windows 7 as OS and added the followed libraries: D3DX9_41, X3DAudio1_7, XAPOFX1_3, xinput1_3.

I hope this information will help!

I tried almost a day to run the game. Without Proton it is not campatible with Linux, but looks like the key moment was the missing DDLs. If I experience any problems in future play I will try with Proton GE.