AA 3984 then AA 1607 at DFW
Rapid City → Dallas-Fort Worth → Cleveland
Timetable, Dallas-Fort Worth time
16:35AA 3984 from Rapid City at the gate
16:00AA 1607 to Cleveland leaves the gate
23 h 25 apart on the timetable, overnight
AA 1607 leaves 23 h 25 after AA 3984 arrives on the timetable: more than half a day, so not a connection we count.