She is just pushing another button. Another *test*
"I am not going to talk to you any longer!!" Age appropriate behavior for a 13 year old.
So treat her as the child she is: ignore her. Be happy, enjoy your kids, enjoy others. Everything is okay.
"Can I respond?" - bad response. It was not worth your time to respond.
Next time she does talk to you, and she will, just say "we are not talking, remember?" and walk away. Or "I don't talk to people who are not respectful" and walk away.
Giving you the silent treatment is not only very immature, but it disrespects you as a man and as the father of your kids. Don't let her get away with it.
