Setting up a gaming server for my friend group

I'm looking to make a purely gaming focused server for me and my friends (10 ish people) I'm planning on using AMP on ubuntu The problem I'm having is finding out what hardware to use for it, since I'm only familiar with making a gaming computer with the gpu as the focus vs not having one at all for a server

My research hasnt been very fruitful because most other forum posts have the server multi purpose vs me who just wants it for gaming. I'm finding conflicting info some say that if it's being used for gaming amd multi thread capabilities work better, or that Intels single thread is significantly better and will blow amd out of the water anyway.

For more information I'm planning on running multiple game servers at once of relatively demanding servers like palworld valheim satisfactory ect. Though my friend group doesn't usually play more than 3 games at once that requires a personal server so I'm going to use AMP server sleep feature on basically everything except palworld (which will be reset frequently)

I'm looking to keep this in the $200 range though I live in a large city with pretty good 2nd hand tech prices so it can be more than that if need be