<human>: Can you provide a brief rundown of the text in within 3 sentences?

Had a bad break up with my ex about half a year ago. I had to cope with a dying relative, while she was struggling with depression and it destroyed our relationship.

She broke off contact for a while after the split but came back. I decided to put things on the fence until I knew I was ready to talk about a relationship again. When I decided to try and talk about it, she got distant and said there was no "us". Some days she'd be warm about talking about it, other days she'd be distant and cold.

I've been receiving mixed messages for a while now such as getting a card from her on valentine's day. I decided to make her an offer but after a month of waiting for a response, she moved onto someone new.

I'm really not comfortable being in contact with her anymore. We have no mutual friends and no way to actually impact each other's lives. I'm obviously still hurting over what's happened before and recently, but I'm not making this decision out of spite or bitterness. I'd rather just accept that this chapter of my life has finished and try and move on but I don't believe I can do that while remaining in contact with her, nor do I think I will have a positive impact on her new relationship, nor do I believe I will be able to focus on my upcoming University exams if we continue talking.

Do you think this is the right thing to do and if so, do you have any advice in how to handle it as gently as possible?
<bot>: LTR ended, she's moved on. I want to leave permanently for both our sakes. How should I handle it?