Its a little long, I'm sorry, but help a fellow out!

So I was hanging with my bros today, we all go to this chinese restaurant to eat. Ironically it was where I took my ex whom I'm in No Contact right now with. I ended up being her rebound because I screwed up so she's with her on and off ex. More irony! She shows up with her girlfriends and guess what.. yep... she sits at the table RIGHT next to us inches away! I was extremely nervous, but I said whats up after she said hey. I only initiated conversation if she did except once cause I felt I came off a little rude. I didn't really pay much attention to her. I tried my best to place it off cool but I'm pretty much in love with her, but I don't want her to know I'm still into her. To top the cake, I looked like a rough mess even though I'm not! She did pay me a compliment or two and was trying to get my attention a few times, but she seemed calm and collected. I really want to win her back, but I know she has a journey to figure out things for herself. Her girlfriends were studying me to... I just tried my best not to much attention to the situation. Aside from the awkward event, I still had a good time there and was laughing and talking a lot. Anyways, I guess what I'm trying to ask here is... did I handle this situation poorly? Did I kill even more attraction or what?

You probably handled it fine - from the details you provided.

The chance meeting is actually a good springboard to send her a text or give her a call if you wanted to try things again or try and build attraction again.

"Was great seeing you by total chance the other night - you looked great"... and go from there. If you're getting return interest from her side, set a date to meet up for a drink.

Regardless of whether she's still got some personal shit to figure out, you might still be able to hit it if she's not seeing someone else or fucking crazy...

The thing is she's seeing her ex who shes been on and off with for a long time. Their last breakup was supposed to be the end, but I guess she wasnt over him. She seems pretty happy with her life right now and what she did wronged me, but I can forgive and forget to start over. She's the woman of my dreams and I'd fight for her, but I feel like she should come to me first since she broke up with me for her ex. Should I continue no contact and wait? Or befriend her and very subtly make her second guess her boyfriend and swoop in?

Stick with the no contact bro!

Let her come to you or let yourself move on.

Thing is it seems she's going smoothly but she keeps posting throwbacks on ig, I think she's trying to hold onto her old relationship. They've been on and off, she gets sick of his shit, they break up. Last one he cheated on her with her roomate/best friend. I guess no contact would be best for sure? Ive moved on, but I'm not over her if that makes sense. Im not going to let her get in the way of my life, but this girl is a rare breed and everything ive wanted.

You handled it perfectly...She'll be crawling back if you keep that up.
Good job.