NEW YORK — The Belmont Stakes, the last leg of horse racing’s revered Triple Crown, will relocate from its standard setting on Long Island to upstate Saratoga Springs this June, as Belmont Park undergoes a major renovation, Gov. Hochul said Wednesday. The switch-up for the 156th running of the Belmont Stakes promises to bring an infusion of horse racing fans and broader sporting and betting interest to Saratoga Race Course, a grand venue that annually hosts the Travers Stakes, another prestigious race. The Belmont Stakes, typically run in Elmont, N.Y., just beyond the city limits, is scheduled…