Should I give this guy a chance?

I was at a party tonight and I met this guy. We started hitting it off pretty much right away. He was really nice to me and even told me I had a beautiful smile. When we were alone on the balcony outside, he told me he wanted to take me out to dinner which flattered me of course. The problem is, he said that he was a little drunk that night so I dont know if he was really sincere. His phone died so I had him give me his number and he said he would love to talk to me again. Do you think even if he was drunk he still being genuine? Should I continue to go after him and give him a chance?
Should I give this guy a chance?
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