AA 69 then AA 3906 at Miami
Madrid → Miami → New Orleans
Timetable, Miami time
16:20AA 69 from Madrid at the gate
16:11AA 3906 to New Orleans leaves the gate
23 h 51 apart on the timetable, overnight
AA 3906 leaves 23 h 51 after AA 69 arrives on the timetable: more than half a day, so not a connection we count.