AA 5071 then AA 5976 at Charlotte
Cedar Rapids → Charlotte → New Bern
Timetable, Charlotte time
18:34AA 5071 from Cedar Rapids at the gate
17:35AA 5976 to New Bern leaves the gate
23 h 01 apart on the timetable, overnight
AA 5976 leaves 23 h 01 after AA 5071 arrives on the timetable: more than half a day, so not a connection we count.