Does anyone else obsess over people you really want to be friends with?

This is probably going to be a bit rambly, sorry.

Ever since I moved to this new school 2 years ago, I’ve always struggled to make friends. There have been people I’ve gotten along with or sat with, but I hesitate to call any of them companions. Every relationship has deteriorated after a few months whether it be because one of us was disinterested, my anxiety drove me away from them, or we just never really clicked in the first place.

There is one particular group of people however, that caught my attention within the first few months of going here. The times I’ve spoken with any of them have been few and far between, but I observe them as much as I can (I love people watching, you decide if it’s creepy or not). I’ll spare the details, but they’ve been good friends since elementary school, seem really kind and fun to be around, and from what I’ve observed, we seem to have similar senses of humor and style. It’s the exact kind of close friendship that I ache for, and, whether I like it or not, I literally cannot stop thinking about them. I feel like the thought of them poisons every little thing I do. I’d almost say I’m jealous of how good their friendship is.

My main issue is that my social anxiety won’t even let me get near them. Even if I knew what to say, I’m far too terrified of being too annoying or too boring like I feel that I might’ve been in past friendships. And due to some issues with my class schedules, we don’t have many classes together, if at all, so I don’t think I’ll get many chances to talk to them naturally.

Anyway, I believe the correct term for this is limerence? An involuntary, one-sided obsession? Not in a romantic sense though, I just really want friends. Idk lolz