AA 579 then AA 2266 at DFW
Austin → Dallas-Fort Worth → Omaha
Timetable, Dallas-Fort Worth time
07:19AA 579 from Austin at the gate
07:14AA 2266 to Omaha leaves the gate
23 h 55 apart on the timetable, overnight
AA 2266 leaves 23 h 55 after AA 579 arrives on the timetable: more than half a day, so not a connection we count.