Existing designs certain do depends on how they are designed on whether they recycle their own gray water - TSMC is heading that way, they are aiming for >60% by 2030 because of the water drought they had a few years ago.

You'd hope a newly designed plant would be more water efficient from the start.

I can certainly tell you that AZ had unregulated water usage which was exploited to grow alfalfa and ship that to Saudi Arabia.

Ohio yes, Oregon yes (Columbia River).