Bette Midler has confirmed a toplining stint in John Logan’s new solo play “I’ll Eat You Last: A Chat With Sue Mengers,” bowing on Broadway in a world preem production to be helmed by Joe Mantello and produced by Graydon Carter.Midler will play Sue Mengers, the late, legendary superagent who by the 1970s had broken through the glass ceiling to become one of the most powerful industry figures in Hollywood. The performer hasn’t played Broadway since her concert stint in “Bette! Divine Madness” in 1979, although she did come aboard 2011 tuner “Priscilla Queen of the Desert” as a producer. Logan’s last Broadway play, “Red,” swept the Tonys in 2010. Scribe also penned the latest James Bond pic, “Skyfall,” and another of his plays, “Peter and Alice,” will bow on the West End in a production starring Judi Dench and Ben Whishaw. Carter, the Vanity Fair editor (and friend of Menger’s) who is also a Gotham restaurateur, makes his legit producing debut with the show. He’s joined on the producing team by Arielle Tepper Madover — the “Annie” producer who also brought “Red” to the Main Stem — James L. Nederlander and the Shubert Org. Mantello, currently helming “The Other Place” at Manhattan Theater Club’s Broadway venue, is a Rialto regular whose string of credits includes “Other Desert Cities,” “9 to 5,” “November” and “Wicked.” “I’ll Eat You Last” will play a Shubert theater still to be announced. No start date for previews has yet been confirmed, but the opening is locked in for April 24.