They surely disbelieve who say: Lo! Allah is the third of three; when there is no Allah save the One Allah. If they desist not from so saying a painful doom will fall on those of them who disbelieve.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.