AA 3153 then AA 5599 at Charlotte
Omaha → Charlotte → Springfield
Timetable, Charlotte time
16:38AA 3153 from Omaha at the gate
15:42AA 5599 to Springfield leaves the gate
23 h 04 apart on the timetable, overnight
AA 5599 leaves 23 h 04 after AA 3153 arrives on the timetable: more than half a day, so not a connection we count.