This performance by Sting, taped at New York’s Public Theater on Oct. 2, was a special event for several different reasons. One, it was one of a string of many benefit concerts staged last fall by Sting for the Public. Two, it was taped on Sting’s birthday. And three, it previewed music from The Last Ship, which is a new musical set to premiere in Chicago this summer before heading to Broadway. Check local listings.