Many 13 year old young people feel like this. Don't worry about it your relationship with your mom will improve.
That is simply not an option. You cannot live on your own at 13 unless you go to court & get emancipated.
Your only option is to call child protective services and be put in a foster home.
I'm only 13 years old and I can't live with my mom anymore every day it's a fight between me and her and she doesn't seem to care about me I can't go to my dad because he has his own family and there's no room for me so is there a way that I can get enough money to move to either California or Florida please don't tell me talk it out with my mom she is not that type of mom we are Caribbean and if I say something like damn I get punched in the nose