I need advice plsss

I’ve been thinking a lot about my ex-girlfriend lately. We haven’t talked in a month after breaking up two months ago. We tried to stay friends, but it didn’t work out because of jealousy. She was upset that I started talking to someone else, and she was also seeing someone new. We ended up having a really bad fight and said some hurtful things to each other. We both made mistakes.

I’ve noticed that she likes everything I post on social media, and I can't tell if she still wants to be friends after what happened. I have a feeling she does, but she might think I’m still mad at her, which I’m not. Should I reach out to her just to gain some clarity on our situation?