New plays by Kirsten Greenidge and Daniel Pearle are on the 2013 slate at LCT3, the Lincoln Center Theater programming initiative dedicated to showcasing the work of up and coming creatives.Latest by Greenidge (whose play “Milk Like Sugar” ran Off Broadway last season), “Luck of the Irish,” centers on a 1950s African-American couple who enlists an Irish family to help them purchase a house in a white Boston nabe, and the resulting property dispute that arises 50 years later. Rebecca Taichman, helmer of “Milk Like Sugar,” directs the play, which had its world preem in the spring at Boston’s Huntington Theater. Gotham incarnation begins previews Jan. 28 ahead of a Feb. 11 opening. Pearle, who recently earned an MFA from Gotham’s New School for Drama, pens “A Kid Like Jake,” about the parenting and societal conflicts that arise when a four-year-old boy develops a taste for Cinderella and playing dress-up. LCT3 staging, which begins previews June 2 prior to its June 17 opening, will be helmed by Evan Cabnet, who will also direct Broadway comedy “The Performers” this spring. The newly added shows round out an LCT3 season that begins Oct. 7 with the first performance of Ayad Akhtar’s “Disgraced” starring Aasif Mandvi.