BF2042 installs and runs just fine using the latest Proton Experimental as of 07/12/23. The menu system renders and functions normal. I started a match and initially all was well. However, within a minute of being in game, you get the "Player was kicked due to Easy Anti Cheat failed to authenticate." and thus you're sent back to the main menu.

Initially, user experiences no issues. However, Easy Anti Cheat kicks you within about a minute or two due to it's failure to authenticate.