AA 5199 then AA 2320 at Charlotte
Gulfport → Charlotte → Rochester
Timetable, Charlotte time
16:46AA 5199 from Gulfport at the gate
16:40AA 2320 to Rochester leaves the gate
23 h 54 apart on the timetable, overnight
AA 2320 leaves 23 h 54 after AA 5199 arrives on the timetable: more than half a day, so not a connection we count.