AA 2003 then 8C 1231 at Miami
Nashville → Miami → San Juan
Timetable, Miami time
20:59AA 2003 from Nashville at the gate
15:008C 1231 to San Juan leaves the gate
18 h 01 apart on the timetable, overnight
8C 1231 leaves 18 h 01 after AA 2003 arrives on the timetable: more than half a day, so not a connection we count.