AA 3071 then AA 5971 at Charlotte
Baton Rouge → Charlotte → Baton Rouge
Timetable, Charlotte time
21:29AA 3071 from Baton Rouge at the gate
15:50AA 5971 to Baton Rouge leaves the gate
18 h 21 apart on the timetable, overnight
AA 5971 leaves 18 h 21 after AA 3071 arrives on the timetable: more than half a day, so not a connection we count.