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So, what should I have done differently?
Nothing, because you did a cool thing: you sat down at a table full of people you don't know. Most PUA's never get to that stage. If you can do that, you can open any set. Pat yourself on the back or whatever. It's a big deal.
Now, to actually get laid rather than just develop your skills, you are going to have to do something more subtle. This is PUA 101. Talk to people over your shoulder as if you are going somewhere, issue a false time constraint "I have to be somewhere but I just need to get a female perspective on something". That way they know getting rid of you isn't a problem.
Probably, the particular set you were hitting on would not have been receptive to any kind of approach however well executed. You need to get an intuitive sense of which type of girls want to get hit on and which don't, which is where IOI's (indicators of interest) come in.
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