One of the most recognizable names in horse racing is joining the field in New York’s sprint into big-time gambling. The company that owns Churchill Downs, home of the Kentucky Derby, is teaming up with a track to pursue a full-fledged casino just outside the state capital. The project is one of nearly two dozen coming into focus as the state moves to issue up to four casino licenses. Final bids are due on June 30, with a decision on locations expected in the fall. On Monday, a state gambling panel assigned to choose casino locations said that bidders in…