AA 5979 then AA 3072 at Charlotte
New Bern → Charlotte → Raleigh-Durham
Timetable, Charlotte time
13:35AA 5979 from New Bern at the gate
13:00AA 3072 to Raleigh-Durham leaves the gate
23 h 25 apart on the timetable, overnight
AA 3072 leaves 23 h 25 after AA 5979 arrives on the timetable: more than half a day, so not a connection we count.