This has nothing to with her. She's very clear and you seemed to have heard it and experienced it's unambiguity: she is done with her. The more you argue whinge, beg, cry yell - the more you only prove her reasoning correct.
The only question is: do you want to prove her right or demonstrate you have changed. Proving it might only maker her angrier - like, why did it take you so long?
Changing and proving it may or may not win her back, but it will make you a better person. A person able to have a better second relationship.