I reread her "invitation". It's rather back handed. Like toying with you in a way. Like saying "I was thinking of this, but no"

Here's my suggestion.

Take daughter to dinner, grab her some food. Drop daughter off stay about 10-15 min. THEN LEAVE.

Turn this table on her. She basically told you no before you even answered. She knew you would say yes.

DO NOT let her continue to treat you like that.

I know you want to stay, but that was a mind game. Walk out with a smile and watch how quick she wonders what is up.

Just try it this one night. I'd bet the next time she will actually ask if you want to.