Girlfriend cheated while on vacation, need advice?

PLURmeister
So, as the title explains it, my girlfriend cheated on me while she was on vacation for a month. So naturally, with the 16 hour time difference, and the fact that she was touring a country, we did not have too many hours overlapping. However, every morning (her bedtime), I would text and we would have a conversation before she was off to bed, and I was off to summer classes. And by afternoon, she would be awake, so I would text during my lunch and during afternoon class, continued until either she had morning plans or I had to drive home. By night, we usually would have another conversation and i would stay up until 3AM or later to continue these conversations.

Now, approaching the third week, suddenly, she tells me how I'm not there for her enough and that I am terrible at long distance, despite the fact that I have done my routine and made the most of our overlapping time, despite my daytime commitments and how I wake up by 6AM in order to catch her before she goes on a night out with her friends or if she is going to bed.

She then says I'm not there enough and I suck and have lost the right for her to be strictly disciplined to be exclusive, saying that she may or may not decide to do anything cheating related, yet she made it absolutely clear that this was not a break and that I was to stay loyal. Three days into the third week, she misses our usual morning rendezvous and doesn't text me until the middle of my morning midterm that she just got home and is tired and going to sleep. I don't get another text until evening for me, which is around noon for her. She then says that we need to talk and she tells me that she let some guy kiss her and she let and wanted him to. Then ignoring my questions and telling me that she would explain herself when she got home. Contact has been quite sporadic and whenever I do get to talk, she gets angry and denies that she cheated, saying that it was justified because I was terrible at long distance.
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Fast forward four days and here we are now. The guy who she kissed was another tourist and had returned home. She told me that they had been kissing every night since then and that it was artsy, but strictly just kissing. She even downloaded another messaging app to contact him!! Now she is cold to me saying that we should talk and that she is confused and does like him, although she says she loves me a lot and is guilty about hurting me, and does want us to continue when she gets back home, eve
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though she told me "I understand if you don't want me anymore or love me less".

I'm super torn, I love this girl to bits, and we've had a good year as best friends before being in this relationship for almost a year now. I love her so much, and that is why the wound is so nasty and constantly hurting. Despite my whole body shouting at me to just dump her and leave it alone, my gut and I guess love tell me that time will heal it and if she doesn't pull another stunt, I could live with that and
Girlfriend cheated while on vacation, need advice?
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