By Philip Marcelo NEW YORK (AP) — A Caesars Palace casino in the heart of Times Square. A sprawling gambling hall along Coney Island’s iconic boardwalk. A Hard Rock casino complex next to the home stadium of baseball’s New York Mets. Eight projects are bidding for a state license to operate a casino in the lucrative New York City market, each dangling the prospect of generational investment in America’s largest metropolitan region. But one — a Bally’s casino proposed on a Bronx golf course once run by President Donald Trump’s company — may have already run out of luck, after city lawmakers denied it a key approval this week. All of the proposed casinos, in application materials submitted in recent days, promise to create thousands of new jobs, flashy new…