I haven't used any AI, I don't need it to answer for me. The circular part is what I highlighted, you started with Boltzmann even using the constant which provides the energy value then worked back.
This then results in a claimed "conceptual but not algebraic change" your words. ie nothing that changes the algebra where the Earths black body temp is calculated to be approx 33C less than the actual temperature. Leaving the GH effect as the only reasonable cause of the difference.
And I can't provide a link to a critique because their isn't one because you haven't published anything. So forget that crap.
