AA 4343 then AA 66 at JFK
Nashville → New York → Barcelona
Timetable, New York time
21:00AA 4343 from Nashville at the gate
20:30AA 66 to Barcelona leaves the gate
23 h 30 apart on the timetable, overnight
AA 66 leaves 23 h 30 after AA 4343 arrives on the timetable: more than half a day, so not a connection we count.