I’ve been using my Sennheiser HD 598 s for over 10 years. I’d recommend anything the same shape/size: being large over ears means it doesn’t touch or squeeze your ears at all. Being open backed and velvet padded stop my ears getting hot and sweaty. Being wired saves weight, prevents lag/quality concerns and isn’t too big a deal in a stationary gaming situation.
I do need to use an external mic for chatting, which is not ideal if you’re gonna be always in voice chats when gaming. Dedicated gaming headsets tend to not sound as good for the same price, but can’t deny the convenience.
Here is a recent rundown of recommendations by audiophile youtubers for gaming headphones might be worth watching. https://www.youtube.com/watch?v=UIwgVzSiZ68
The first time I opened an invite steam said I couldn’t join, but on a whim I opened it a week later and it worked. I still live in a different city so don’t know what happened.