I’ve looked around a little, and found some mentions of using Lutris, or running it through Steam (tbh I don’t know how that would work), but I’m not really able to find any guide that explains the process well enough. I’m so used to the game being handled by Blizzard’s Battle.net launcher, so I can’t really wrap my head around how that would work.
Glad that worked! For some reason, Battle-net does not work well with regular Wine for some time now. It works but when there is a new agent update for Battle-net, it gets borked and either can be fixed with a complete reinstall or as a temporary fix, symlink the new agent to the old one. Anyway, these problems are not present with GE-Proton. Heroic made this easy by adding built-in downloader for GE-Proton. I guess it would be nice if Lutris does a similar thing.