In short: install battle net launcher, the use that to install any blizzard game.

I’ve had luck with Lutris in the past: Install Lutris, search for the battle net installer, once that is installed in it’s own wine prefix you install the games as usually and it will end up in the same prefix.

Last time I was having problems though, so I setup a wine prefix via winetricks instead and installed the same fonts that the Lutris install script adds. Then I got it running.