There is a strange rule that I discovered there. You need to buy your first cigar from their selections which are over priced and very limited. Something about percentage of bill needs to happen in order to trigger something or other blah blah blah...
In order to get around the lack of choices and percentage rules they are partnered with the Davidoff store near central park. So if you buy your sticks there ( they have a HUGE selection), go to the carnigie club with your receipt, you can smoke whatever you want, even stuff you brought from your humi. Let us know how it goes!