Comment by Ekaros
With AC can't you just well re-introduce it? The cold side could be almost closed system as nothing demands you to remove water in such location. For occupied spaces lower humidity generally feels better so moisture is removed. But for data centre it could be re-introduced?
You still have to transfer the heat to something.
Note that it is quite common for the refrigerant or chilled water to be a closed loop, but still have an evaporative cooling tower etc.
People are trying to use geothermal etc...
Evaporative cooling efficiency in dry climates is hard to beat for capital, energy and space.