AA 5300 then AA 2688 at Charlotte
Lafayette → Charlotte → Raleigh-Durham
Timetable, Charlotte time
11:27AA 5300 from Lafayette at the gate
11:00AA 2688 to Raleigh-Durham leaves the gate
23 h 33 apart on the timetable, overnight
AA 2688 leaves 23 h 33 after AA 5300 arrives on the timetable: more than half a day, so not a connection we count.