Leah Nanako Winkler is a New York-based playwright, but before that, she made a home in Kamakura, Japan and Lexington, Kentucky. Her work is consistently playful, painfully frank and delights in skewering stereotypes and cliches — often by amplifying them to absurdity. She’s covered the clique-ish realm of high school (complete with Beaver football mascot), the sliding doors of feudal Japan (attended by t…