My first instinct was that the essay would just be "67" as a stupid and harmless but nonsensical response.

Somewhat amusingly, mine depends on the examiner knowing how advanced AIs are. In the 1960s mine would just look like a trickle AI. It feeling human demands we assume the ai would actually be competent

Yours is even more effective. Both hinge on the solution being "be as unexpected and out-of-distribution as possible"

I somehow imagine they wouldn't like your essay that is made of 100% slurs though, regardless of how effective it is at the stated task