Why does she want to be friends so bad after she broke up with me?

I confronted her and told her maybe we shouldn't be friends and that it would be for the best. She told me we just needed to give it time and we will be close friends again in the future.
I told her it's not a good idea so why does she want to be friends with me still?
We didn't end on a bad note
Why does she want to be friends so bad after she broke up with me?
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