Start of a counting-out rhyme

This time we are looking on the crossword clue for: Start of a counting-out rhyme.
it’s A 29 letters crossword puzzle definition. See the possibilities below.

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Possible Answers: EENY, EENIE, EENA.

Last seen on: –NY Times Crossword 30 Aug 21, Monday
Wall Street Journal Crossword – January 14 2020 – Smear Campaign