Danielle Turchiano Senior Features Editor, TVIn preparing to tell a story set in the world of a morning news show, executive producer and director Mimi Leder and production designer John Paino traveled to New York to visit some of the real-life counterparts to what would become the titular “The Morning Show” at Apple TV Plus.They learned of a crucial difference between such programs as “Today” and “Good Morning America,” and harder news channels including MSNBC: “We discovered it wasn’t like a