Try the heroic game launcher. It usually works well. It let you log into gog, epic and prime account and games easily.
If the game doesn’t run well, try your luck on protondb to see if there is a way to fix it : https://www.protondb.com/app/22380
I’ve install the gog version of fallout 1 with the heroic game launcher, it worked out of the box. Maybe you’ll have some luck with new Vegas.
What an horror ! What are you gonna do ? Use your working system ? That’s sad…