What should a girl do if a guy seems interested in her but he doesn’t ask to hang out with her?

This one guy makes it obvious that he likes me and I know he is nervous. He talks to me first in person but he never asks to hang out or anything. His always trying to go to certain events that I would likely be at so it’s not like he’s avoiding me. I kind of think he’s just too nervous to be one-on-one with me and some of his friends tease him when I’m around and that’s when he doesn’t talk to me.

I don’t know what to do now. He’s talking to me more now because he’s not around his friends as much anymore.
What should a girl do if a guy seems interested in her but he doesn’t ask to hang out with her?
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