In the song "New York, New York", is Frank Sinatra saying "New York (City), New York (City)" or "New York (City), New York (State)"?

Re: thread 1, seems obvious to me that he's borrowing the familiar City, State formula, but giving emphasis to to it in a way that turns it, emotionally, into City, CITY!!!! I mean no way on that awesome last declaration is he thinking about NYC's situaton within the larger state economy or upstate getaway optiions or w/e.