AA 9782 then MQ 3427 at Miami
VQQ → Miami → Birmingham (Alabama)
Timetable, Miami time
09:51AA 9782 from VQQ at the gate
22:49MQ 3427 to Birmingham (Alabama) leaves the gate
12 h 58 apart on the timetable
MQ 3427 leaves 12 h 58 after AA 9782 arrives on the timetable: more than half a day, so not a connection we count.