AA 1296 then BR 661 at O'Hare
Houston → Chicago → Taipei
Timetable, Chicago time
10:30AA 1296 from Houston at the gate
09:50BR 661 to Taipei leaves the gate
23 h 20 apart on the timetable, overnight
BR 661 leaves 23 h 20 after AA 1296 arrives on the timetable: more than half a day, so not a connection we count.