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New York was a state of the United States. Its largest city was New York City. Though the Doctor tended to visit the city when he was in New York, (TV: The Chase, Daleks in Manhattan; AUDIO: Invaders from Mars; PROSE: Cat's Cradle: Warhead, et al.) they did occasionally make it further afield, (PROSE: Cat's Cradle: Warhead, Christmas on a Rational Planet) such as to Long Island. (TV: Nikola Tesla's Night of Terror)
Among the various visits made by the Doctor across the globe in the past, multiples in New York were noted by Jac as UNIT in the 2010s compiled a list of his appearances in order to deduce where the Twelfth Doctor had gone for his final destination. (TV: The Magician's Apprentice)