AA 5967 then AA 6098 at Charlotte
Baton Rouge → Charlotte → Greenville-Spartanburg
Timetable, Charlotte time
16:23AA 5967 from Baton Rouge at the gate
15:55AA 6098 to Greenville-Spartanburg leaves the gate
23 h 32 apart on the timetable, overnight
AA 6098 leaves 23 h 32 after AA 5967 arrives on the timetable: more than half a day, so not a connection we count.