Ex girlfriend broke up with me but wants to be friends?

Anonymous
Saw a girl for 2-3 months, we moved very very fast. Had sex within the same week of meeting. Talked every day for hours on end for close to 2 months. She would talk about things she wanted to do with me like move away together, places we should go. She displayed a tonne of interest, and would also ask why i was not replying quick if i didn't reply straight away. She liked me a lot, and i mean a lot.

By the 3 month mark she started growing a little distant cause of our first argument. Eventually yesterday, she broke up with me cause she said the feelings werent there anymore, cause we kept arguing over small things, very little things. She went from hot to cold in such a short time. She said though, that she still wants to be friends with me and to see me for dinner some time soon. What does her behaviour mean, and what should i do?
Ex girlfriend broke up with me but wants to be friends?
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