You might not be a good fit for each other. You enjoy staying home and playing video games. She prefers to hang out with her family instead of watching you play games.

I hope she doesn’t beg you to let her back in if she has any self respect. Throwing people out is a really low move.

I also think that if your fights are bad enough to one person going in a hotel, then this is doomed. It’s not how people resolve conflicts in a commited relationship.

I think apologizing to her is a good idea but I’d let her go and enjoy her life. At the same time I encourage you to see a therapist to help you sort it out what caused you to behave in this manner with a girlfriend so it doesn’t happen with a next one . Good luck