AA 4588 then DL 5595 at JFK
Cleveland → New York → Washington
Timetable, New York time
12:29AA 4588 from Cleveland at the gate
10:25DL 5595 to Washington leaves the gate
21 h 56 apart on the timetable, overnight
DL 5595 leaves 21 h 56 after AA 4588 arrives on the timetable: more than half a day, so not a connection we count.