AA 2287 then DL 5595 at JFK
Austin → New York → Washington
Timetable, New York time
11:30AA 2287 from Austin at the gate
10:25DL 5595 to Washington leaves the gate
22 h 55 apart on the timetable, overnight
DL 5595 leaves 22 h 55 after AA 2287 arrives on the timetable: more than half a day, so not a connection we count.