AA 5089 then AA 1738 at Philadelphia
St Louis → Philadelphia → Providenciales
Timetable, Philadelphia time
09:19AA 5089 from St Louis at the gate
08:50AA 1738 to Providenciales leaves the gate
23 h 31 apart on the timetable, overnight
AA 1738 leaves 23 h 31 after AA 5089 arrives on the timetable: more than half a day, so not a connection we count.