AA 3697 then AA 6333 at DFW
Manhattan → Dallas-Fort Worth → Roswell
Timetable, Dallas-Fort Worth time
20:50AA 3697 from Manhattan at the gate
20:00AA 6333 to Roswell leaves the gate
23 h 10 apart on the timetable, overnight
AA 6333 leaves 23 h 10 after AA 3697 arrives on the timetable: more than half a day, so not a connection we count.