Pity Party

Ok, so I have an issue with a friend of mine.

In recent months she has been insatiably offensive to me. Now, this hasn't always been that way in our friendship, so its not like I'm putting myself into this position. Nor is she always this way. However, when she is, I call her out on it, and criticize her for doing that.

Now apparently, a recent event where she insulted me, and acted like a conceited bitch on top of that, was the straw that broke the camel's proverbial back, and she just bitches to me about how "all [she] ever do[es] is wrong," and that we shouldn't be friends. Now this, of course, is not true, although in recent weeks I have been increasingly critical, in response to her increasing abrasiveness.
However, if I tell her that she is wrong in saying that, it will further support her delusion that all she ever does is wrong.
And I can't just NOT call her out on these sorts of things.
On top of that, despite her recent attitude, I still would like to be friends with her, since she still can be enjoyable company, and just in general I care about her. Also, if you exclude me, she really only has one other friend who she keeps any bit of ongoing contact with(though how long that will really last, I can't say). I don't think it would benefit her for me to just say "Ok, friendship over, bye bye," and leave it at that.
It looks to me like she doesn't want to own up to her faults, and just runs away from conflicts, rather than learning from them at all.

I want to give her some Frank Barone advice and say "Quit blubbering you baby, and just do better next time!" However, I wonder if that would be at all helpful.

I'm in a bind Gamingforce!

Jam it back in, in the dark.