AA 3637 then AA 4040 at DFW
Lubbock → Dallas-Fort Worth → Brownsville
Timetable, Dallas-Fort Worth time
14:03AA 3637 from Lubbock at the gate
13:27AA 4040 to Brownsville leaves the gate
23 h 24 apart on the timetable, overnight
AA 4040 leaves 23 h 24 after AA 3637 arrives on the timetable: more than half a day, so not a connection we count.