For most users, this ends up being a long useless string (because of the
UUID included.) If it's the default, Astra-managed path then it simply
says "Default Location". When it's a custom path, it shows the full path
as per usual.
This affects the visible game paths, but also the wine prefix path.
I find the page to be extremely cluttered now, and there's so many
options that it's hard to tell what's relevant. Now I split it up into
three major flows: "install game", "install benchmark" and "use
pre-existing install". Their UI no longer overlaps, and it should be
much clearer for users.