I got it installed through the old installer, the new one refused to install Edge WebView and consequently crashed when I tried to ignore that part. However, the game itself, while starting, does not render correctly, as seen 
.
Tried to run it through Wine-GE as well as Proton but both with the same result.
You can install stuff onto a prefix before installing a game, but fair point about it being for Proton, you’d want winetricks instead, which Protontricks wraps. I do think Lutris lets you setup dependencies before running the installer on your prefix for a new game, but you might have to write a script to do it the way I was thinking.
I assume you’re using the Mesa drivers then. Maybe try the AMD proprietary drivers to see if they’re more compatible with this particular game? Couldn’t hurt besides being a bit of a pain to setup.
Not gonna happen, especially not for one title.