AA 5199 then AA 3057 at Charlotte
Gulfport → Charlotte → Rochester
Timetable, Charlotte time
16:46AA 5199 from Gulfport at the gate
15:40AA 3057 to Rochester leaves the gate
22 h 54 apart on the timetable, overnight
AA 3057 leaves 22 h 54 after AA 5199 arrives on the timetable: more than half a day, so not a connection we count.