As they don’t just crow at dawn. They can crow throughout the day, or hardly at all. In Portugal the “cock a doodle do” saved the life of a pilgrim, who had proclaimed shortly before;
‘It is as certain that I am innocent
as it is certain that this rooster will crow when they hang me’
No-one is quite sure exactly when the three (or is it more) kings arrived, some say it was weeks later and others years. Two years ago here in Olhão they arrived with their musicians, dancers, acrobats and storyteller on epiphany which if we were in Bethlehem would be possible but not sure about travelling by camel here in that time!