I have read through some of the comments here, and I mostly agree when they argue that this analogy (ant –> antidisestablishmentarianism) is flawed. It gives the wrong idea about evolution for two main reasons: (1) it assumes evolutionary mechanisms are teleological and (2) it assumes DNA is purely linguistic.
The point of solving this analogy is obviously just to show that evolution could reach this path. Therefore, say if evolutionary history indicated that some hypothetical word was reached, it wouldn’t contradict the theory. This analogy doesn’t show that evolution is teleological, it shows us that, even when limiting oneself to just functional words, we can reach certain “ends” merely by virtue of chance mutations searching a set space of functional words, so to speak.
But another fact is that evolution doesn’t have to find valid words. We have about 30,000 functional genes in our body which are protein-coding. We have another 20,000 non-functional genes (or pseudogenes) which don’t confer a benefit nor are they necessarily negative. We also have a vast space of transposons and other features which are free to mutation and often are biochemically active. This wild west of about 88-94% of our genome is totally free to mutate and eventually mutational load becomes something interesting and new.