AA 274 then DL 6063 at JFK
Los Angeles → New York → Lima
Timetable, New York time
21:00AA 274 from Los Angeles at the gate
12:50DL 6063 to Lima leaves the gate
15 h 50 apart on the timetable, overnight
DL 6063 leaves 15 h 50 after AA 274 arrives on the timetable: more than half a day, so not a connection we count.