AA 976 then AA 5120 at Charlotte
Philadelphia → Charlotte → Baton Rouge
Timetable, Charlotte time
21:34AA 976 from Philadelphia at the gate
21:30AA 5120 to Baton Rouge leaves the gate
23 h 56 apart on the timetable, overnight
AA 5120 leaves 23 h 56 after AA 976 arrives on the timetable: more than half a day, so not a connection we count.