Does he like me? What should I do?

I've met this guy a month ago. He doesn't text me much, usually just once a day. When we are together I feel like he really cares about me, but then he gets distant. He acts like a real gentleman which is rare for guys my age (brings me shoes, opens the door for me, wants to share his food with me). He's never been in a serious relationship, I'm 6 months out of mine. At first he told me that he's looking just for something casual. I told him that I want a relationship. His response was that he might reconsider. I asked him what he thinks about me and he said that he won't tell me. I don't wanna waste my time but I also really like this guy. Why are guys more complicated than algebra lol.
Does he like me? What should I do?
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