AA 5498 then AA 611 at Charlotte
Burlington → Charlotte → Providenciales
Timetable, Charlotte time
11:30AA 5498 from Burlington at the gate
11:09AA 611 to Providenciales leaves the gate
23 h 39 apart on the timetable, overnight
AA 611 leaves 23 h 39 after AA 5498 arrives on the timetable: more than half a day, so not a connection we count.