Carol Kane will topline a new Craig Lucas play, “The Lying Lesson,” as part of the 2012-13 season at Off Broadway’s Atlantic Theater Company.Anna D. Shapiro (“August: Osage County”) directs the world preem of “Lying Lesson,” which joins the Atlantic slate along with another new play, “Good Television,” by Atlantic company member Rod McLachlan, to be directed by Bob Krakower. Kane, who appeared on Broadway earlier this year in the Roundbout Theater Company’s Broadway revival of “Harvey,” stars in “Lying Lesson” as a woman who may or may not be Bette Davis. Storyline of the latest by Lucas (“The Light in the Piazza,” “Prelude to a Kiss”) centers on Kane’s character and the young woman who assists her in buying a house in a small Maine hamlet. Show begins previews Feb. 27 ahead of a March 17 opening on the Atlantic’s mainstage space. “Good Television,” by actor McLachlan making his playwright debut, follows the television crew of a reality TV show about addiction interventions. Play starts previews May 22 prior to opening June 4 at Atlantic Stage 2, the smaller of the Off Broadway company’s two venues. The two titles complete a 2012-13 season that kicks off with Simmon Stephens’ play “Harper Regan” later this month.