No predictions loaded for 2066. This site serves NOAA predictions from its own store, and this period has not been fetched for Babylon yet. Nothing is estimated or interpolated in its place. NOAA's own page for the station has the official table: tidesandcurrents.noaa.gov.
tidealmanac.site/us/ny/babylon-8515421/2066
Babylon, NY tide table 2066 (printable) · Tide Almanac