AA 3585 then AA 2358 at O'Hare
Key West → Chicago → Austin
Timetable, Chicago time
21:20AA 3585 from Key West at the gate
21:12AA 2358 to Austin leaves the gate
23 h 52 apart on the timetable, overnight
AA 2358 leaves 23 h 52 after AA 3585 arrives on the timetable: more than half a day, so not a connection we count.