<human>: We would argue a lot about small things and I think this is what eventually led to us breaking up. I was caught off guard, but I should've seen the signs. She wasn't happy, and neither was I. I believe that there's a lot I could have done that might have made things different, but it's too late for that now and I have to accept that she might be moving on.

For the first few days after the breakup, I wouldn't leave her alone. I would plea with her to talk with me and try to work things out. I came to the conclusion that if we were going to have a future ( and even if we weren't ) I had to give her space. For two weeks we didn't talk. We saw eachother once in passing and we didn't speak. When I got ahold of her I let her know that I was interested in having coffee or lunch and she told me she wasn't ready to hang out. 

After that I decided that I need to try no contact again. However, I go to work the following Monday and she's training for a position in the same office as me. We go to the same school, so we might run in to each other anyway, but now we're basically forced to interact.

Our old relationship is over, and I was at first devastated by this, but maybe it's a good things. Some elements of that relationship were definitely unhealthy. My concern is about the future. Moving forward, how do I balance no contact with working together? I'm not trying to salvage our old relationship, but I've been working on improving myself and I'm hoping we can build a new relationship. 

Some sort of reconciliation would be nice, at the very least, but I think if we both own our pasts and plan for the future then we can have a better relationship than ever. I can provide missing details.

Thoughts? Advice? Thank you.

Can you condense the text into a few key points?
<bot>: We broke up. We work together now. Old relationship is in ruins, but what about the possibility of a new, better relationship? I don't want to jeopardize that possibility, if it exists