The task of getting your child into the best possible preschool is a gauntlet run by a particular stratum of Manhattan parent. Daniel Pearle’s new play A Kid Like Jake, examines that famously difficult process with a dramatic twist or two. Directed by Evan Cabnet and starring Carla Gugino and Peter Grosz as Jake’s parents (the child is unseen in the play), A Kid Like Jake closes the season at Lincoln Center Theater’s LCT3 program, which is dedicated to developing both new artists and new audiences for New York theater.