AITA for Not Wanting This Girl in My Friend Group

Lately, this girl in my class started inserting herself into my friend group eating at the same table as us, going everywhere we go, that type of stuff. I mean, I wouldn't really mind since this has happened before within our friend group. The difference is, those people were at least close friends with someone already in our circle. This girl just popped out of nowhere.Now, there's a reason why I don't like her, and neither do the others in my friend group. She's boy crazy and such a pick me. The worst thing she's done was make a fake account pretending to be the new transfer student we had, making it seem like he liked her back when he actually didn't. He eventually found out about it and felt deeply uncomfortable.She also made up a story about me and one of my friends and told it to someone else, which ended up causing a whole misunderstanding. We literally had to clear everything up because of the bullshit she made up, and it was so unnecessary.She's also constantly trying to compete with one of my friends who's in our circle, which is honestly shitty because she's trying so hard to insert herself while bad eyeing someone who's already part of the group. Not only that, but she keeps making uncomfortable jokes towards us. She told my friend, who was with her girlfriend at the time, that she must have thick hair down there, which was just weird and inappropriate. Then earlier at lunch, while we were waiting for the gate to open, she joked that I should fuck the guard. That pissed me off because I was already having a bad day because of her, and then she added that bullshit joke on top of it.