I'm running out of time cause I'm dumb

I should talk to this girl but I can't. You should probably close this thread now cause I never take your advice. This is mostly just venting. Basically I am new at school, basically no friends. On like the second day of school, this girl comes and asks me to be her partner for some classwork. I was really nervous and shit so I acted REALLY weird, and I'm not being self conscious. But I at least thought she wanted to talk to me in the first place. Idk why though I looked like shit then. Then basically a long time passes, and I was like obsessed with her but too shy to talk to her. I also went through a bunch of shit I'm actually way better now. But eventually I give in and just try to fb request + message her, which she ignores. Now that kinda makes me confused and sad. But I should talk to her in real life I think, so she actually knows me. I mostly just want to be friends, but I can't even do that. She's probably going to date this other dude, and that's fine. They always talk and he does obvious flirting shit like grabbing her papers. I'm just here trying to like participate in class make jokes and shit, so hopefully she might actually think I'm not weird and maybe funny. And it's working (the jokes) I make the class laugh a lot, I know she laughed pretty hard at least twice. (Note that I'm not trying to be a class clown or anything, I just make a killer joke every couple days or smth). I was hoping this would make her (and other people) think I'm not weird and talk to me more n shit but of course it doesn't. Well hopefully I raised the opinion of me. It would probably be a good time to talk to her now, but I still have a deadly fear of approaching people. And I'm gonna fucking run out of time. School is almost over, tommorow is last day until spring vacation. Beyond that, I don't get many chances at all to approach her, and she's kinda shy too she's probably just gonna mumble at me.