AA 5585 then AA 6004 at Charlotte
Louisville → Charlotte → Gulfport
Timetable, Charlotte time
20:41AA 5585 from Louisville at the gate
15:58AA 6004 to Gulfport leaves the gate
19 h 17 apart on the timetable, overnight
AA 6004 leaves 19 h 17 after AA 5585 arrives on the timetable: more than half a day, so not a connection we count.