I wouldn't say what you're doing - going for a run, bungee jumping, going to a cupcake eating marathon. it's none of her business.
I would keep your contact minimal and if she wants to hang out with the dog, why does she have to do it at your place? Keep the dog for the evening or whatever.
I am just saying that stop trying to cater to excuses to see you. She's still interacting with OM for goddssake. This is really beta behavior.
Just do the legal stuff and then head out. No explanations, just that you have plans. Done.
