Ok, guys, there is this girl HB7 in my school who apparently gives me IOI's but I don't know how to approach her. She is always with 2-3 other female friends and I often see her staring at me and, as soon as I turn my head towards her, she immediately averts and says something to her friends, who then look at me and giggle. She seems to be very shy!
The point is: how do I approach her? It would be weird to open her set and run my routines because she is already somewhat attracted to me (or at least I think so, I'm not so experienced), but I can't open her directly because she is always with her friends.
Besides, consider that I only see her for 10-15 minutes a day, during the break.
What should I do?
Thanks in advance guys!

Im kind of an AFC myself but maybe you should approach them and say something like: "you dont mind ill take your friend for 5 minutes dont you? good "
and than take her aside and direct her.
maybe even opinion opener for the whole group but if they pointed you and giggled and so that youve seen them doing it than it wo'nt help.

When I catch a girl looking at me, or averting her ea when I look I just assume she's interested and wants me to open her. (Whether or not its true. It's sure as shit a confidence booster thinking that way) so I find an excuse to say "hi".

"Hey is your name "bla bla".
No
"O. You look like a bla bla I grew up with/ had a class with/ dated whatever. Am transition into other conversation

Yes
" I thought I recognized you from bla bla, I'm bla bla" and transition. Introduce yourself I everyone. Work the group. Render make he friends be on your side.
Or I it turns out see name different chick pretend you think it's her and talk about some o the cool tuff you two did.

My two cents. I'm a newbie high. But I've had luck with those scenarios. Especially when I've seen them repeatedly lookin at me.

This is really not a tough approach. The only reason is seems tough to you is because you're searching for a perfect opportunity to approach her. If you keep searching for that, you're going to miss your opportunity all together.

She's sending you all sorts of signals that she wants you to talk to her, but its still your responsibility as a man to make the first move.

NMAFC is pretty much right on track by suggesting to approach the group and say: "You dont mind ill take your friend for 5 minutes dont you?" (Definitely no need for an opinion opener in this situation.)

Be nice to the group, pull the girl aside for a few minutes, get to know her a little bit and get her number. Start texting her and call her after a few days and get her on a date.

Don't overthink it anymore than that.

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Ok, today I was in the right mood to open the set, but something bad happened
First, it was not until the end of the break that I saw her, and because of that I got more and more nervous during the whole break. On top of that, when she finally came up, she was with this girl, one of her friends, but the other friends were not with her. Now, both because I was very nervous and because the set had turned to a 2-set and I had no wing, I didn't approach her
Is the ""You don't mind I'll take your friend for 5 minutes, dont you?" line still good when she is just with a girl friend, or should I try something else? I know I should be more relaxed and the ones I listed are likely to be only excuses not to approach her, but this is my very first approach

The fact that this is a 2-set should make you less nervous, after all less people will put pressure on you. I think the '5 minutes' thing might work but only if the target will accept leaving her friend alone, otherwise idk maybe situational opener.
as for the AA: keep the state of mind of 'I know she is interested (she shoed IOIs) and if not than she is lossing me not im lossing her' - you don't need to be nervous because in the worst case SHE is lossing YOU.

If she's with only one other friend, then its you can still do the "borrow your friend for 5 minute" thing, but I would probably alter it to "borrow your friend for 2 seconds" and really stress the fact that its only gonna be 2 seconds, because her friend isn't gonna want to stand there for very long by herself.

Either way, you're putting WAY too much pressure on yourself with this one girl. If this is your first approach, you really need to get out there and go to the mall or downtown and start approaching girls, so you realize that this one girl is just one of many. When you're first learning how to pick up women, you should NEVER focus on actually trying to pick up women. You should ONLY focus on PRACTICING picking up women. Its just practice. No matter what happens, its just practice and it doesn't matter, because you'll learn from it.

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how old are you? high school or college?

Ok buddies, first day game: ✔
I got rejected, but let me explain everything..
So, yesterday I found out that a friend of mine is the cousin of my obstacle, so I decided to use him to run a situational opener (he would have talked to the two and I would have come up, greeted him and start talking to the girls from there). But something went wrong..
He actually told my target that I was interested in talking to her and this must have cooled her down completely, cause as soon as I came to talk to my friend and introduced myself to the girls, they shaked my hands but soon after my target told me she had a boyfriend. I replied saying "oh, that's ok, I'm not jealous" (the first thing that came to my mind actually xD) but she wasn't hooked up anyway and eventually she left.
But... I'm feeling f*ucking euphoric now!
I respected the 3-seconds-rule, I was TOTALLY relaxed and confident when I approached the set, I didn't go mad when she told me she had a boyfriend and I didn't feel bad after the rejection. I was so euphoric that on the way home I approached a couple of girls I didn't care about and run a couple of openers on them, without further hitting on them after they gave me their responses, and, again, I was really confident when I was running my openers
I feel very well now, and I guess I'm officially ready to get into the game!
Bye!

That's cool bro, you have a good attitude about it. Yea, your wing screwed you by telling her you liked her. He might as well have said "Be prepared to reject this guy who is about to hit on you." Coming right out and telling a girl you like her, or that someone else likes her, is such an AFC move.

You could still start talking to this girl though. Now you know her, sort of, and you dont' have to worry about trying to open her anymore. Just talk to her.

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I see your point, but wouldn't I be needy if I tried and hit on this girl again?

you won't 'hit on her' you will talk to her as any other girl you know.
than after a while when you already know her ask her out or something.
just make sure to keep sexual frame so you don't fall to the friendzone