Pick up your drink, walk over to the table, think of the funniest moment of your life so you have a smile on your face, and say “What, are you girls shy or something?”
When they say “NO, why?”
Answer “Because I’ve been sitting at the next table for at least a half hour and you haven’t come over to say hi to me!”
I have about 3 different friends who all use variations of this opening…
and it works great (if you’re having fun when you say it).
You need to get over your fear.
Once you stop caring what women think of you, then you’ll make a lot more progress.