AA 9782 then AA 1161 at Miami
VQQ → Miami → Washington National
Timetable, Miami time
09:51AA 9782 from VQQ at the gate
21:52AA 1161 to Washington National leaves the gate
12 h 01 apart on the timetable
AA 1161 leaves 12 h 01 after AA 9782 arrives on the timetable: more than half a day, so not a connection we count.