If it can help some, here is my contribution !
After days of trying with Steam, Wine, Lutris … Without success, I finally managed to launch the game:
1 - Distribution = Manjaro
2 - Package = steam-manjaro 126.96.36.199-3 (and its dependencies)
3 - Steam with Proton 5.0
4 - A few commands, we’re on Linux
cp ./.local/share/Steam/steamapps/common/Eve\ Online/SharedCache/tq/bin64/launchdarkly_client.pyd ./.local/share/Steam/steamapps/common/Eve\ Online/SharedCache/tq/ chmod -w ./.local/share/Steam/steamapps/common/Eve\ Online/SharedCache/tq/launchdarkly_client.pyd
Note : My home is not in a “drive_c” at home
It works !