AA 1956 then AA 3680 at DFW
Nashville → Dallas-Fort Worth → Tyler
Timetable, Dallas-Fort Worth time
21:50AA 1956 from Nashville at the gate
21:30AA 3680 to Tyler leaves the gate
23 h 40 apart on the timetable, overnight
AA 3680 leaves 23 h 40 after AA 1956 arrives on the timetable: more than half a day, so not a connection we count.