Red Lobster is shutting down its Times Square restaurant next month, ending a 23-year presence at the corner of 41st Street and Seventh Avenue. The closure — set to take place on June 14 — wipes out the chain's only remaining New York City outpost. The flagship spot at 5 Times Square opened in 2003 and built a reputation as a tourist attraction situated right at the heart of NYC. In a statement, the company pointed to ongoing construction at the building as the breaking point. "Extensive and prolonged construction at the building has significantly impacted access, visibility, and foot traffic at this restaurant," a Red Lobster rep said, per The New York Post . "Given those conditions, along with the building's planned conversion to residential use, continuing to operate at this location was no longer viable." "Times Square has been an important chapter in Red Lobster's history, and this was a difficult decision," the company added.…