Some water is used in humidifiers, there are also systems that use direct evaporative cooling where the water is eveporated to cool the hot air. There are probably other ways the water is lost.
AWS’ preferred cooling strategy for its data centers is known as direct evaporative cooling. In this system, hot air is pulled from outside and pushed through water-soaked cooling pads. The water evaporates, reducing the air’s temperature, and the cool air is then sent into the server rooms.
These cooling systems remove and release all of the heat produced inside a data center – from servers, IT equipment, and mechanical infrastructure – into the outside environment, through a cooling tower that uses a water evaporation process.
Some water is used in humidifiers, there are also systems that use direct evaporative cooling where the water is eveporated to cool the hot air. There are probably other ways the water is lost.
https://dgtlinfra.com/data-center-water-usage/
Even if so, does evaporating cause it to exit the water cycle?
It goes outside and eventually becomes rain.