> It's not just planet-scale, it's universe-scale. Lots of planets conduct the experiment, ours just happens to have resulted in intelligence.

My argument doesn't depend on the existence of an intelligent species on the planet. The problem already arises when there are multiple species on ONE planet. If you calculate the pure combinatorial distance between the DNA of 2 species, you must find that you can't just brute force your way from one to the other before the heat-death of the universe. This is why mutation bias exists: not all mutations are equally likely, evolution favours some kinds over others.