Sometimes relationships just end even under the best of circumstances.
If you joint own the home I guess one of you will have to buy the other one out or it will have to be sold and you each will get half and both of you will have to move.
I am sorry that things are rough right now, focus on your sobriety first, your daughter's well being second, and your own wishes third.
If you aren't sober then you can't be there for your daughter and won't be equipped to handle the situation. If things get too loud and vulgar please make sure your daughter is not within hearing distance, I don't know her age but obv. your girlfriend is not worried about anything but herself.