If someone who actually knows how to run a business, wants to start this up I would gladly work at half of my corporate rate.
If I was a billionaire I literally would do nothing but fund to open source video game projects. And then maybe pull a Red Hat and monetize it somehow.
The question is, what to build it on. Godot?
Are we talking about actually getting this done or just dreaming of a nice billionaire giving us money ?
https://codeberg.org/Liblast/liblast-framework
I'd start with that if you want to build it in Godot.
However, I'd prefer to build it from scratch with an actual engine designed for an FPS.
ID Tech for example makes amazing FPS games that aren't resource hungry.
From 30 seconds of googling,
https://github.com/RobertBeckebans/RBDOOM-3-BFG
Seems to be a modernized version of the last Doom engine.
Hypothetically if we could actually get a team together I'd put up my own money to get art done. However, I still think creating a high quality FPS would require money at some point.