AA 5982 then AA 611 at Charlotte
Fayetteville → Charlotte → Providenciales
Timetable, Charlotte time
11:21AA 5982 from Fayetteville at the gate
11:09AA 611 to Providenciales leaves the gate
23 h 48 apart on the timetable, overnight
AA 611 leaves 23 h 48 after AA 5982 arrives on the timetable: more than half a day, so not a connection we count.