I do not understand this girl

There's a girl I've liked for years. It's a platonic love, completely idealized and fictional.
I met up with this girl once, but she didn't want to see me again.
When I ran into her at bars, I'd talk to her, but she ignored me.
So I got tired of trying.


But what I don't understand is why she would look at me from across the bar, from the other side. I was looking at her too; I was searching for her.
Maybe she was looking at me because I was looking at her. I think I'm trying to see things that aren't really there.
Once, I saw her looking for me with her head. I noticed her, and she quickly turned her head away.
Her friends look at me, so I think she's talked about me to them.

Once, I ran into her on the street, but I was on the other side, so I assumed she didn't see me. After a while, she turned her head back to where I was.

If this girl has shown she's not interested in me, I don't understand why she keeps looking at me, and sometimes she stares at me from a distance.

Thanks.

Maybe she's merely seeing if you're going to approach her, since she knows you're interested in her. This sounds to me like overthinking things. If she's repeatedly rebuffed you, I'd just let it go.