Do girls play mind games with the guys they like?

I am in a situation where I have no idea if she has a boyfriend or if she is making me jealous. I am confused because I find it stupid that she wouldn't just tell me that she had a boyfriend, instead of shoving some guy on my face and walking away with him, leaving me alone.

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It's like I am in that situation where I don't know if she is making me jealous, or if she has a boyfriend but wants me to figure it out somehow?. Its weird because I have seen signs of attraction from her. But she has blew me off completely already.
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with the guy that I just mentioned.
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I tried to talk to her again yesterday. This time she was more friendly, even though she was acting very serious, she would ocationally look at me not all the time and this time she would talk to me.
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The same guy cama again, he tried to get her away from me. She told me to wait for her this time.
Do girls play mind games with the guys they like?
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