Im no expert at bar game but everything you described seemed to be going well until after you sat down with her:
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I try to initiate some comfort by talking only to her
You basically pointed out your main problem. Were you engaging the group at all? If you pay no attention to the group and dont introduce yourself, you'll be sticking out like a sore thumb within her circle and everyone will feel uncomfortable with you being around, including her.
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Mistake #1? I should have isolated her?
Eventually, yes. But there's plenty of time for that. Your getting the IOI's from her already. If you made a good impression with her friends and busted on her a bit jokingly, she would have followed you anywhere in that bar.
Getting too drunk doesn't help either lol. You played everything well at the beginning. Personally, I dont like to leave and come back if I dont have a real reason to do so. I've seen plenty of natural guys stick with a girl for about an hour and take them home so I dont feel it's a necessity to do so.
The IOI's you mentioned earlier were text-book IOI's by the way. Her making you feel her hair, she wants you to touch her. Obvious IOI if she cares to learn your name.
Out in the day, women dont get hit on as much as they would in a club so when they ask for your name it's a lot less often that it's more formalities compared to a club where attractive women get hit on in swarms. So in a club when a woman cares to learn your name, your at least on the right track.
Now....honestly if the HB9 friend that you were hitting on were....say a HB6 or 7 and this girl was an 8, that'd actually work in your favor. Like they say, the best way to get under a really attractive girls skin is to hit on her ugly friend. It kills them not to have all the male attention and they'll wonder why you chose them over her. It works wonders.
SNL (Same Night Lay) pick ups, I believe, should be taken alot slower than phone or kiss closes (If you can kiss close, why not put in the little extra effort and just SNL?)