My take is that if you tell her you are taking a break with your “friendship” so you can focus on dating and creating a real relationship then she will get the message (in terms of actions not words) that you are emotionally moving on.

It seems from your postings that you are still hanging on in some ways and she knows that.  She can behave however she behaves and know that you are willing to put up with that, still be around to talk or more whenever she decides to pull you back in.

Mark