Approaching a girl in a coffee shop?

Is this a good idea? I've sometimes been tempted to ask a girl if it's OK if I could sit at her table. The tables at starbucks are so small though so it seems kind of weird to sit so close to someone I just introduced myself to, but oh well. Girls, are you OK with a guy asking if he can sit at your table and then tries to get to know you a little bit? Is it OK to directly ask?
Approaching a girl in a coffee shop?
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