Vacation rentals in The Cape

I want to ensure accuracy, but I can’t locate an officially named city “The Cape” in New York. Could you confirm the exact town or share a link? If you’d like a quick placeholder now, you can use this 2-sentence blurb and I’ll tailor it once you confirm: The Cape, New York offers a peaceful, rural setting ideal for a relaxed getaway. This small community provides easy access to the region’s natural scenery and outdoor recreation, with nearby dining and local charm.