Yoyo is right. "Forcing" her to stop playing the game will only backfire, and its a boundary she has already crossed with you. No need. 180 and GAL and space space space.
I wouldn't make her move to her mother's house, but if she is deadset on moving out, you can't really stop her without it becoming worse at home. Could you afford an apartment for her to live in?
I am proud of you for fighting, its what's right. Take care.
