Sigh you're really not selling it for me. I hate helping guys who want to 'teach a girl a lesson' or are sarging a girl for 'pride.' It's all bs.
Still I've been in a similar situation and denied my oneitis. I know it's tough but let's see what we can do.
So here's where you stand: You've been rejected by her a bunch of times and placed in friend's zone. She's hurting and of course trying to maintain whatever friendships she has because of that vulnerability.
I'll put something out there, girls who are friends can hug and play and do whatever. I've go a friend who hugs me everytime we meet and before she leaves. She grabs my hand when she's talking. She'll laugh at all my jokes, we'll tease each other and all of that. The thing is we know we're friends. She's been placed in my friends zone and I'm in hers. We mutually agree to be friends. I could assume she's flirting with me and game her but she's a friend.
This girl seems like my friend. The best way to game a girl like this is to change something about yourself. It's a psychological thing. She has associated you and how you look and so on with a friend.
The trick here is to have some physical change so that her mindset breaks and you now have a chance to recreate her image of you. (Maybe you noticed a friend who shaved his head for the first time. He looks different and for a little while you feel like he's a little bit of a stranger. That's what it's based on. A little bit of psychology

)
What I did is change my style. It's pretty much up to you.
Next is to do what you would do with any other girl. Invite her out to hang out with you and your friends. (What you're doing is creating a low pressure environment). She'll turn up if what you said is true. Ignore her for most of the night. Go have fun, meet some new people, hang out with some girls. Let her know you're an amazing fun guy who people love and chicks love to flirt with.
That step is to illustrate change of value so her mind can grasp it while it's still considering the fact that you're different.
Next is to open her differently. Change the entire way you would interact. Tease her. Neg her. Do some DHVs you wouldn't normally do. In the middle you fluff talk with her a little as well so that she remembers the comfort you have. All this can be done if she has someone there or not. Remember to kino. High fives, touch her shoulder, do a trust test etc.
Isolate. Do your thing. Kiss
