The actual answer is: earth is much hotter than the CMB. Thus earth radiates more heat radiation away than is incoming from the CMB.
Heat only goes from hot to cold.
Like imagine sitting in a room full of ice. Does the ice heat you up? There‘s thermal radiation coming from the ice that‘s muuuch hotter than the CMB.
And thermal radiation from your body that is very muuuch more than that coming from the ice.
Hence you heat up the ice walls, not the other way around.
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