If that's the case then the building's system was very badly designed...

It was designed for historical, pre-climate-change weather. (Or at least when those were in the know about climate change thought we'd solve it.)

	▲	mytailorisrich an hour ago \| parent [-]
		There's probably a "Belgian joke" to be made if their AC is only designed to work when it isn't hot...

That seems true - it's not a historic building - it was built in the mid- to late-1960s.