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I am trying to imagine the least convenient possible world (LCPW) for the LCPW method.

Perhaps it is the world in which there is precisely one possible world. All 'possible' worlds turn out to be impossible on closer scrutiny. Omega reveals that talking about a counterfactual possible world is as incoherent as talking about a square triangle. There is exactly one way to have a world with anyone in it whatsoever, and we're in it.