AA 5878 then AA 1977 at Charlotte
Salisbury → Charlotte → San Antonio
Timetable, Charlotte time
10:40AA 5878 from Salisbury at the gate
10:20AA 1977 to San Antonio leaves the gate
23 h 40 apart on the timetable, overnight
AA 1977 leaves 23 h 40 after AA 5878 arrives on the timetable: more than half a day, so not a connection we count.