Should I?

I want to delete my ex-talkingstage on all my socials.
So me (M16, FA-attachment) and my ex (F16, Avoidant) after our last date she started acting cold. I thought it was normal because of her attachment style and decided to give her space. After some days I asked her about it and she said “but we aren’t dating… right?” And I said “I mean I would like to” and then she sent me the what I call “avoidant paragraph”, saying that she didn’t feel ready for a relationship, family stuff bla bla (something that I also did with my first gf before I started my healing journey… so karma I guess? Lol). I responded saying that I felt that type of way too but I do want to put in the effort and that I understand her decision.

Last week I deleted all my socials off my phone because I wasn’t feeling good. And today I downloaded instagram again, but I saw her liking one of them “posting my single clients” from those barbers idk if yall know what I mean lol. And idk it just felt weird, like she already moved on and I’m just one step behind.

I know that’s it’s over and everything, I don’t want her back or anything but it still feel weird. That’s why I’m thinking of deleting her after I send her my last message explaining why of my actions (cuz I wouldn’t like it neither if someone deleted me without explaining😭)

Anyways I’m sorry if I type a little weird English is not my first language and thank yall for the advice Meanwhile