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The Greeks (from several city-states) were attacking Troy ( on the southern Turkey coast) so technically, it was the ancestors of the Turks - not related to Persia except under Persian conquest later - who might have been duped by the cultural ancestors of the Western (US) forces.
Epeus, a skilled boxer, is credited with building the Trojan (of Troy) horse with the help of Athena, as told in the Odyssey.
In Vergil's Aeneid, Laocoon warns the Trojans against the treachery of Odysseus which he sees behind the horse-gift of the Greeks. Laocoon says: 'Beware of Greeks bearing gifts.'
In the Epitome of Apollodorus, credit is given Odysseus for conceiving the idea and Epeus for building.
It was a rabbit, and it was Monte Python.