AA 3330 then LA 2699 at Miami
New York LaGuardia → Miami → Lima
Timetable, Miami time
23:13AA 3330 from New York LaGuardia at the gate
23:10LA 2699 to Lima leaves the gate
23 h 57 apart on the timetable, overnight
LA 2699 leaves 23 h 57 after AA 3330 arrives on the timetable: more than half a day, so not a connection we count.