AA 361 then AA 833 at Miami
Austin → Miami → Quito
Timetable, Miami time
16:48AA 361 from Austin at the gate
16:26AA 833 to Quito leaves the gate
23 h 38 apart on the timetable, overnight
AA 833 leaves 23 h 38 after AA 361 arrives on the timetable: more than half a day, so not a connection we count.