2042 always used EAC, and EA refused to enable EAC for Linux.

Only BFV. BF1, BFBC2, BF3 and BF4 all still run perfectly.

GOG Galaxy runs perfectly on Linux via Lutris. I use it all the time.

I run both the Epic Store as well as the EA App via Bottles, and I had both up and running in about ten minutes.

You can also install both launchers under Steam via Proton. The process is a little more involved, but far from difficult.