Edim, the direct answer to your question about what happens to a non-GHG atmosphere is this. Its temperature is governed by convection from the surface. The surface would be 33 K cooler due to not having the blanketing effect of a GHG atmosphere. Basically everything is 33 K colder including the atmosphere. It gets complicated if you let the atmosphere warm due to solar radiation (absorption by dust, clouds, etc.) because then it would have to stay warm and it could only lose its energy by contact with the surface.
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