AA 5964 then AA 5078 at Charlotte
Augusta → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
15:10AA 5964 from Augusta at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
21 h 15 apart on the timetable, overnight
AA 5078 leaves 21 h 15 after AA 5964 arrives on the timetable: more than half a day, so not a connection we count.