AA 568 then AA 5984 at Charlotte
Dallas-Fort Worth → Charlotte → Florence
Timetable, Charlotte time
13:34AA 568 from Dallas-Fort Worth at the gate
13:05AA 5984 to Florence leaves the gate
23 h 31 apart on the timetable, overnight
AA 5984 leaves 23 h 31 after AA 568 arrives on the timetable: more than half a day, so not a connection we count.