Sit with her.

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They call me the cat whisperer, cause I know exactly what the pussy needs.

Haywood is right you definitely need to stop overthinking and just take action before it's too late. But I think you know this already and I get the situation you're in because I recently graduated from college myself so I know this feeling. What you could simply use an 'excuse' for the approach is that you know a lot of her friends, but not her. Literally just approach her and say something like, "Hey I always see you hanging with [mutual friend] and [other mutual friend] but I don't think I've met you yet, I'm [your name]." Obviously you have to do this in the most alpha, chill, confident way ever, with non-needy body language that shows your not interested but rather just being an outgoing person.

If you already know her major, and stuff sure you can continue by 'guessing' it, then tease her about it, get her to guess yours etc. If your seeing yourself as boring and imagine that you're going to bore her like the other needy guys then without a doubt you will. See yourself as a fun outgoing alpha male and you'll give off the right vibe so that she sees you as that too. Set yourself apart by being playful, neg her, or tell her a particularly interesting routine...things which I bet 95% of guys talking to her don't do. Keep the first encounter very short too, so that instead of her wondering when you're going to leave she'll wish you stayed a little longer.

Approach and open her, guess some things about her, neg/tease her responses, say some other funny or interesting thing related to that, and then right when you have her laughing and enjoying your presence the most you tell her that you have to leave to an important meeting...but that there's a party this weekend and to give you her number so that you can update her on it later (doesn't matter if there actually is one or not, you can say later it was postponed or some bs like that and invite her to something else, if your game is good then she won't think much of it). Now you leave her intrigued, curious about you, and wanting to see you again...perfect set up for a text from you a few days later where you tell her about the 'party', build rapport, invite her to hangout, etc. and then go from there.

So there you go, next time you have the opportunity to approach there's no excuse. And if you know she hangs out at a certain place then try hanging around there more too so there's more likelihood you'll get to see her. May sound a bit creepy or whatever but hey you have to make your own opportunities sometimes.

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You're Probably Making One Of These 7 DEADLY TEXTING MISTAKES

I approached her twice :
1st time so I can sell her tickets ( she rejected me instantly ).
2nd time I noticed the same would happen if I went up quickly and approached her so I took all my time , I spent 30 minutes if not more with another group next to hers , then I went up to a friend who wanted a cigarette from her group . We wen to her group and then stayed there and spoke to almost everyone I saw exept her , especially the people I recognized . I went up to one of her friends and said out loud that this the first time I come to this area and I want to meet everyone who stays here . THAT IS HOW I WARM APPROACHED .When I asked her why she rejected me she said she gets scared off when random strangers approach her .
Let's figure out logistics apparently she doesn't like teasing. She said that she hates people from my school since they think the world revolves around them . I sat in her place when she was up and offered the place to another girl , she thought it was her i was speaking to and then she laughed , eventually called me mean and mentioned she was right about people from my school . When a guy sat on my place instead she was like yeah 1-1 , you deserve it . She goes to college mostly on thursdays and tuesdays and she's currently only taking electives .When the conv got boring I changed groups and approached 2 other groups around them . Eventually I came back asked for her friend mira for mira's name . Mira gave me her name and the girl's . The girl then got surprised about some annoying guy texting her out of no where so I directly left and gave out an enthusiastic ironic bye ( I showed them I wanted to hear none of this .)
What do I do now ? is she joking about being mean , how do I appear modest , showing people who used to go to my school aren't pompous by inviting her some place seems much ? Do i directly approach her or approach mira instead to get pump some attraction ?

Yes. Yes, you don't care if she pays any attention to you.

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They call me the cat whisperer, cause I know exactly what the pussy needs.

showing people who used to go to my school aren't pompous by inviting her some place seems much ?

Rephrase?

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They call me the cat whisperer, cause I know exactly what the pussy needs.

She believes people like me are mean. It is a misconception she has acquired from a guy she was with . Do i prove her wrong by asking her out somewhere casual ?

You are completely over thinking the whole process.

Just a simple "Hey I'm going to (Cool place inserted here), you should join me. you'd have a great time."

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They call me the cat whisperer, cause I know exactly what the pussy needs.

follow up question : how can I make a simple outing to lunch "fun " ?

A. Why does it have to be lunch?

Answer; Winery, for free wine tasting. Or Micro brewery.

I might save the wine tasting dedicated to a long lazy afternoon, that ends up at your place to "relax."

By "relax" I mean fuck her.

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They call me the cat whisperer, cause I know exactly what the pussy needs.

lol , we're college students . Let's be realistic . I'll meet her at lunch time . Besides wine tasting is no where near where we are , that would be a 2 hour drive from where we are and I've had my driver's license for like 3 months .