<human>: Can you summarize the given text in a few sentences?

A bit of backstory I meet this girl, we'll call her Chloe, when I first came to college. We've been best friends through my college career. (I just graduated) I've always had some feelings for her but there was always something stopping from admitting them in the past, her boyfriends, fear, etc. So nothing ever happened between us.

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Eventually I met her new roommate and we were interested in each other. We had a semi-complicated relationship that ended up lasting around 5 months and ended with her disliking me and going no contact.
Recently (~5 months since the breakup) I admitted to Chloe that I really liked her and have for sometime. She admitted that the feeling is mutual. The problem is she doesn't want to cause a problem with her best girlfriend/roommate but she wants to see what we could be. We are both at a loss of how to handle this well without causing the ex-girlfriend pain and making her hate Chloe. I asked Chloe to talk to the ex about this but she is too nervous to even bring up the subject as we both know that she'll have a major problem with it. Is there anyway to solve this?

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<bot>: I dated my best friend's best friend and now I want to tactfully date my best friend without causing pain. I don't know how to do this, is it even possible?