Ex sending confusing signals during no contact

Howdy, I could use some advice regarding my ex and the stuff she’s been texting me recently. Some backstory first though.

My ex and I dated for 7 years, we got together when we were both 18 and starting college though I knew her back in High School. During our time together we did have a few “breaks” mostly due to me being dumb and not quite mature enough to understand what I had. All things considered though, I’d say we had a good relationship even if there were some bumpy times. I never cheated on her or anything like that but the last time we broke, I did date some other girls. Ultimately I decided I wanted to be with my ex and we got back together.

That was 3 years ago. This time we broke up because I lost myself. My degree was getting me nowhere, the career I was gunning for in college turned out to be not the one I wanted, and I lost confidence in myself. I projected all of my insecurities on to my ex and grew to dislike her. I pushed her away emotionally and physically, often going weeks without speaking to her. I was in a horrible place and I treated her horribly. Understandably, a person could only take so much. She told me that if I kept this up she would break up with me and I told her to do it, and so she did…

At first I thought it was a good thing, I didn’t like her anyways, but about a month later I realized my horrible mistake. We broke up in mid May and my realization occurred in early to mid August. At that point I did just about everything the 5 step plan says not to do. I was needy, desperate, begging her to come back. I sent flowers to her house and dropped off hand written apology letters. I think she did forgive me, but I took my overbearingness too far. At that point she told me to leave her alone, that we’re never getting back together, and to move on. So I did.

I got myself a job I’m proud of, I got rid of my insecurities and hate and have generally become a much happier person. This is all while maintaining no contact. I have however bumped into her a few times here and there but all I did was say hi and moved on.

Last week she texted me twice and IM’d one of my close friends. Now these texts were pretty logistical in nature, however they did not require my input. The first one was about our shared gym membership, and I simply replied that I didn’t know why she got an email about the matter. The last text she sent was because someone had thrown paint on her car. She asked if it was me or one of my friends. I told her that I would never do such a thing and that it upset me that she would even think that I would. I then offered to help, because truth be told, I’d be livid if someone did that to my car, and she just got a new one. All she said was “nope, bye”. In between these two interactions with her, she IM’d a buddy of mine with a screenshot of his tinder profile and said “Oh hi”. She then never replied to him.

I’m confused as to why she would text me about these things and then also talk to my friend? I have a feeling this is a power play on her part, just her trying to get under my skin or something. I still do want her back but in the meantime I’m working on myself and maintaining no contact for at least another month or two.