DL 5291 then DL 2563 at Atlanta
Augusta → Atlanta → West Palm Beach
Timetable, Atlanta time
06:32DL 5291 from Augusta at the gate
20:45DL 2563 to West Palm Beach leaves the gate
14 h 13 apart on the timetable
DL 2563 leaves 14 h 13 after DL 5291 arrives on the timetable: more than half a day, so not a connection we count.