DL 996 then AA 2564 at LAX
Atlanta → Los Angeles → Chicago O'Hare
Timetable, Los Angeles time
08:59DL 996 from Atlanta at the gate
06:02AA 2564 to Chicago O'Hare leaves the gate
21 h 03 apart on the timetable, overnight
AA 2564 leaves 21 h 03 after DL 996 arrives on the timetable: more than half a day, so not a connection we count.