I've emotionally cut off my father

I'm 18 F living with my family which includes my parents and my older brother. So the thing is my father has always been toxic , towards everyone in the house and when I was a child he used to beat me and lock me in storage room etc. So my relationship with him has always been broken but the last straw was when he cheated on my mother , he not only cheated but said terrible things about my mother and gifted his mistress house and he used to roam freely in front of everyone as if showing his mistress off to the world , I was only 10 or 12 something when it happed , sometimes he used to go "somewhere" for 3-4 nights and I used to wonder why is he taking trips without us? When I grew older I realized he was with his mistress all those days. My mother ,still gave him a chance to improve himself, so nowdays there's so news on the affair but my relationship with him only has broken , there's only so much hurt a person can take from someone. I'm thinking abour going no contact once I'm old enough to afford everything. Last night my father and I got into argument and he said some terrible things to me and that was it. I snapped into reality and I have promised myself to never repair the bond again. I have always tried to but it never works so I have given up upon repairing or reconnecting ever again. Even if he tries to win my forgiveness I'll never give him. He also slut shames me and tries to takes control over my things.