Cooling with a deep freeze

[Milford]

I'm relatively new to this site, so sorry if this is in the wrong category.

I have a section of my barn walled off and insulated with air conditioner. During the summers we keep our show cattle in the "cooler" to stay cold and grow hair. I'm here to find out if it's possible to bury a huge loop of pex and connect it a both sides to a deep freeze. It would then get filled with water/antifreeze solution. If we pumped this cold fluid through the pex, would we see a temperature change in the barn?

If so I would appreciate any feedback/tips/other ideas.

Thank you