AA 9782 then LA 2699 at Miami
VQQ → Miami → Lima
Timetable, Miami time
09:51AA 9782 from VQQ at the gate
23:10LA 2699 to Lima leaves the gate
13 h 19 apart on the timetable
LA 2699 leaves 13 h 19 after AA 9782 arrives on the timetable: more than half a day, so not a connection we count.