I have a booking from CPH -> LHR -> JFK -> RDU booked with American Airlines. In the AA app the first leg appears as rescheduled meaning I will miss the long leg. I called AA and they confirm it is rescheduled and offered to find alternatives but because of limited capacity they suggested I call British Airways who is the operator of the first flight. British airways says the plane leaves on time and there is no reschedule. On the airport website the plane is also listed as "on-time", in fact there exists no departure for the rescheduled time.
Should I trust the operator of the actual plane (BA) or the company I made the booking with (AA)?
Details:
LHR airport website shows the original arrival time.
all three legs on same itinerary, but i would strongly prefer not arriving delayed
flight BA811 from CPH->LHR 7:30am 8th of July
rescheduled time is 9:14am which does not match any departure from CPH



