Not our intelligence but intelligence as a whole. It consumes far more energy than not and if conditions are right the creature tend to dominate their environment. For example, Corvid are one of the most abundant birds, Orcas and blue whale rule the oceans and the less said about man the better. Essentially intelligence always consumes more energy thus more entropy. However, I am willing to be wrong and if it doesn’t lead to more entropy than other forms of life I am willing to accept this. I don’t think a study has been done on this so it’s just my hypothesis.

Fair enough intelligence burns a hella amount of calories (I.e) makes a lotta energy which increases entropy overall!

Not really a thermodynamic miracle. If fact, the sun’s energy output is so insane that some scientists believe that life as a byproduct should kinda be expected. Granted that a space rock is suitable for it. Intelligence though that is a miracle. We are only intelligent because evolution padding out intelligence stats after a certain threshold turned out sentience into sapience and we became insanely self aware.