I love cayenne on my pizza, and curries, chillies, all that kind of food. If my mouth gets uncomfortable my solution is simple and, I find, quite pleasant.
I have a small shot glass of *olive oil* handy. Most spicy chemicals easily dissolve into oil, much more so than in water. Water is hardly effective at all. I just take a sip or two, let the oil flow all around the mouth for a few seconds till the hot sensation is pretty much gone. Then I just swallow the oil. Use extra virgin olive oil, but really any oil will do.. canola and corn oil have a milder, blander flavour.
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avatar photo caption: The Red Sea by Eilat