I doubt it runs on linux. Last time I tried 15 years ago, it ran but everything was black and the mouse wouldn’t capture within the game window.
Civ Revolution is not available for PC. So did you try a different Civ game on Linux? If you want play the PS3 version again and have a powerful machine, then emulating PS3 with RPCS3 is an option. The compatibility rating for the game on the emulator is rated as Playable.
EDIT: Oh you was talking about Civ3! Looks like I can't read, sorry. Well Looking at recent ProtonDB user reports, looks like Civ3 is playable on Linux. But its not perfect, reports say without music and you need to install C3X. I personally have no experience, so cannot assist further.