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Sorry for my delay in response. I try to limit the amount of time I spend on social media as it can be harmful to my mental health.
As for good game theory resources, it's going to somewhat depend on your existing math literacy. I'm going to paste a list (below) that I'd found on reddit when I was first exploring game theory about 10 years ago. I haven't read all of the suggestions.
I also recommend checking out MIT's OpenCourseWare game theory polisci course. I found it quite interesting.
I do mean it. I'm not always fast to reply, but I'm around if you ever want to have a chat about anything! The grad student path seems like a worthwhile pursuit and I wish you all the best with it! As for the social aspect, I can relate, certainly. I was pretty unsure that things would work out when I set out to try alternative living systems in my early 20s. Being around like-minded people ended up being extremely valuable for my social skills, in the end.
Maybe when you're done with your coursework you can investigate the opportunities available. I lived for a while in a co-op house in upstate New York that would have been perfect for a young professional. Private rooms with common spaces and a nightly shared meal. Communal chores to be done, but income was not shared. Members had to have their own incomes.