>>Does she want you to fight for her?

I think it's probably that.

That, or she's craving for some attention (all girls are) in the form of you not cutting clean like this (she probably feels "ignored" somehow).

From the way OP describes her comportment, I read it more as a "wtf I leave you for another one, don't play it the cool guy and make me look even worse than I already do" than as "I'm dating this other guy but I feel guilty because I still love you".

That said, right now she's being a manipulative (pardon the word) bitch, as an addition to the fact she broke up with you for another. Don't bother, ignore her/block communications, and maybe try to talk to her in a few monthes when shit has stop falling.