Am I in the friend zone with him?

I met this guy through mutual friends, and we didn't talk all night while we were out but I caught him looking at me a few times. while we were in a group he asked one of my mutual friends who he's close to to "introduce me to your lovely friend." And then he introduced himself to me and offered to get a cab back with me. I can't tell if I'm attractive to him or if I'm friendzoned?
Am I in the friend zone with him?
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