The homeric epics are not history. The section of the epic cycle that details the story of the trojan horse is missing - we have only references from other texts. So unfortunately you’re not going to get a detailed explanation of a fictional event from a non-existent text.

It’s incredibly likely that a coalition under a mycenaean era leader did intervene militarally in wilusa/ilios/troy, probably multiple times. But the poetry that survives incorporates elements from different eras of history and can’t be understood as a factual account of events.

(Not a historian, just an enthusiast with an ancient history degree)