I'm going to tell my gf I'll cheat on her if she continues to falsely accuse me
What are the false accusations she has made against you?
She thinks I'm cheating on her when I go out with my friends.
I get that it sucks being falsely accused of something you haven't done, but it's not going to be right for you too threatened her as well. How about you both go to couples counseling, where you can talk about things about your relationship, and not distrust each other.
I'm just tired of her shit, okay?
I understand that, but making false accusations as retaliation isn't the way.