I do a lot of night work, and can tell you that in Australia, at least, it gets colder between 3:30 and 4am, well before sunrise.
It usually stays that way till about an hour after sun-up, whatever season it is.
I believe is is a function of sundown rather than sunrise- it is the natural cooling effect of a few hours of darkness.
On a bit of an aside, whoever said that the 'darkest hour is just before dawn' is a long way off the mark- it is usually darkest between midnight and 4am...
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