Why don't you first work out the (very, very) simple physics to find out how
much cooling power you need, i.e., how much heat per unit time and unit area
the to-be-cooled object needs to radiate into your cold plate.
From that you can figure out which percentage of the surroundings need to be
"cold", and how "cold".
Only then you should concentrate on the pesky details like air humidity and
stuff. And only then you are allowed to write "theoretical" rather than
"hypothetical", as you should have.
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