Using the Chainsaw action to enter combat or preventing damage with it does not force the minion to strike with it.
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Talbot's Chainsaw
Unique weapon.
Strike: 3 damage. If the bearer is ready during your unlock phase, this weapon inflicts 3 unpreventable damage on a ready minion you control. The bearer cannot hunt. The bearer can enter combat with a minion as a +1 stealth Ⓓ action. The bearer gets 1 press (mandatory), only usable to continue combat during the first round, and can prevent 1 damage each combat.
Rulings
The damage inflicted during the unlock phase is weapon damage, it is neither inflicted by the wearer nor environmental. Mictlantecuhtli can be chosen and would take no damage.
The action provided by the equipment to the attached minion fizzles (resolves successfully for no effect) if the equipment is not attached to the acting minion when the action resolves unblocked.