The atmosphere has as much mass as a layer of rock with a height of just ~5 meters.
As seen from the point where you reach 1000 C (~50 km deep), 99.9% of the mass are between the 1000 C rocks and us and only 0.01% are above us.
Our surface temperature is mainly determined by the amount of sunlight that reaches us and how easily that gets radiated away again. Heat from Earth’s interior is a very small contribution.
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