AA 69 then AA 3422 at Miami
Madrid → Miami → Birmingham (Alabama)
Timetable, Miami time
16:20AA 69 from Madrid at the gate
16:16AA 3422 to Birmingham (Alabama) leaves the gate
23 h 56 apart on the timetable, overnight
AA 3422 leaves 23 h 56 after AA 69 arrives on the timetable: more than half a day, so not a connection we count.