My mom told me to move out

Me (18f) and my mom had a fight and she told me that by the end of today she wants my keys on the table and me gone. My parents are divorced so I can stay with my dad. I know she doesn't mean it, but I am mentally exhausted of being used as a private tutor for my brother (13m) and her psychologist. I am definitely going to stay at my dad's tonight. My question is should I go through with moving out or should I come back home tomorrow? Thank you all in advance.