Can you pass this logic test from Brazil?

The 17th annual Brazilian Olympiad featured an incredibly tricky logic puzzle that went viral on social media. Thanks to Guilherme who suggested and translated the problem from Portuguese to English!

Pinocchio problem discussions
https://ultimosegundo-ig-com-br.translate.goog/brasil/2022-06-08/questao-obmep-pinoquio-viraliza-personagem-mentiu.html?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-US&_x_tr_pto=wapp

Students make memes involving Pinocchio and leak reactions

A question about Pinocchio. What is your opinion about alternative C?
by inaskphilosophy

https://brainly.com.br/tarefa/52854041

Pinocchio illustration
https://en.wikipedia.org/wiki/File:Pinocchio.jpg

See Bram28 explanation for vacuously true
https://math.stackexchange.com/questions/2723860/still-struggling-to-understand-vacuous-truths

Wikipedia vacuous truth
https://en.wikipedia.org/wiki/Vacuous_truth

Wikipedia truth table
https://en.wikipedia.org/wiki/Truth_table#Logical_implication

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