I wouldn't be wasting a cigar by putting it out in a place that allows cigarette smoking. I'd be getting up and leaving.
The wife and I haven't visited what once was a favorite local hang out of ours in a considerable while, since they "remodeled" their cigar room (complete with couches, TVs, humidor, etc) into a plain ol' smoke hole with regular tables. The last time we were there (immediately after finding the idiotic change) I left a business card for the manager with a short note on the back requesting him to give me a call if we got our cigar room back.
All of this over a recommendation from a consultant, from what I'm told (the cigar room was deemed a waste of money). I'll spend my money elsewhere.