I would not sign anything. Give her support if she wants to buy a house but she is doing it on her own. Be nice. You have come along way with the positives. Don’t say something like “that’s your problem not mine”. Let her know if she wants you opinion on something about the house or purchase you will help any way you can but You don't see the need for another house at this time so if she wants to buy another house that’s her decision. Don’t tell her this but if she wants a life without you in it she is going to have to start living it. It’s not like you have thrown her out in the street. She has a place to live / sleep. After my first marriage my XW would always call me to fix this or help her with that. Finely one day I woke up and thought to my self. If she does not want to be married to me. And does not need me so why am I taking care of her. She can’t have it both ways I was not mean but I had to start letting her take care of herself for my own sake.
I am no expert otherwise I would still be single.
Husband
And if I claim to be a wise man, well It surely means that I don't know