No predictions loaded for 2049. This site serves NOAA predictions from its own store, and this period has not been fetched for Lake Montauk 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/lake-montauk-8510448/2049
Lake Montauk, NY tide table 2049 (printable) · Tide Almanac