DL 1253 then DL 3888 at Detroit
New York JFK → Detroit → Albany (New York)
Timetable, Detroit time
21:18DL 1253 from New York JFK at the gate
14:40DL 3888 to Albany (New York) leaves the gate
17 h 22 apart on the timetable, overnight
DL 3888 leaves 17 h 22 after DL 1253 arrives on the timetable: more than half a day, so not a connection we count.