“Christine Ebersole is giving a performance that critics hailed as one of the great star turns in recent Broadway history” in Grey Gardens. But the role is apparently so demanding that Ebersole has begun missing performances because of exhaustion, “causing the show’s producers to fret that she might jeopardize her chances of winning the Tony if she’s unable to do the show eight times a week. They met with her in her dressing room one night last month and told her to take a week off so she could pull herself together before the spring run-up to the Tonys, which are handed out in June.”