The Sagamore Hotel is not in New York City. It is located in Bolton Landing, New York, on the western shore of Lake George in the Adirondack Mountains.
Address: 110 Sagamore Rd, Bolton Landing, NY 12814
If you're looking for a Sagamore in NYC, you may be thinking of the Sagamore Hill (Theodore Roosevelt's home) in Oyster Bay, Long Island—also not in the city.