Agriculture ships water away in the form of crops. It loses water from evaporation. I think data centers use closed-loop cooling. They use water but they don't lose it.
A few, most don't. If it's cheaper to use an open system then the closed system are only built for show, to soothe the public.
They use evaporative cooling towers because you need far fewer of them. The evaporating water can be separate from the main cooling loop. https://en.wikipedia.org/wiki/Cooling_tower#Heat_transfer_me...