As August comes to a close and September takes its place, the hottest ticket in town for New York theatergoers isn't perma-hit Hamilton or this year's Tonys champ Hadestown, it's a different H with a taste for heroics and some killer tunes. After much anticipation and probably a few too many "Go the Distance" puns, a stage adaptation of Disney's 1997 musical Hercules has made its debut at the Delacorte Theatre in Cen…