Yes, we get the joking premise of “what if nursery rhymes were actively written by teams like modern or tin-pan-alley era songwriting partnerships”. But there is no third stanza in the actual nursery rhyme, nothing like stanzas really … so is that in there just to fit with the (secondary) joke about the Chekhov’s Gun principle?
Three blind mice. Three blind mice.
See how they run. See how they run.
They all ran after the farmer’s wife,
Who cut off their tails with a carving knife,
Did you ever see such a sight in your life,
As three blind mice?