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If the world is deterministic than our "will" is a hard computable function of the state of the world. In short, our brain and nervous system would behave in ways strictly determined by the current state of the world.
There exist NP-hard problems that are deterministic.
Your definition of "will" relies on the premise that the mechanical/chemical actions of our brain/CNS wholly and entirely dictate our consciousness and mind (and hence choice of action, so to speak). I can't say you're wrong, but I don't think you can say you're right either.