After reading through all your comments, it honestly seems like you and your partner are not compatible. There is a stream of excuses on both sides about why neither one of you is comfortable. The cats can't handle the door being closed, the headphones he wears are uncomfortable, the two of you want to spend time together in the same room, it's too loud in the morning when he wants to enjoy his hobby, etc. etc.

I don't think you should have to put up with triggering sounds like controller clicking and gunfire. However, I also think your partner should be able to enjoy their hobby. Maybe there are reasons why this relationship has been valuable to the both of you, but it seems as though your desires are in conflict with one another.

Sometimes in a relationship, compromise is necessary. And sometimes compromise is just a way to make both parties unhappy.