Question: Suppose you are given a Turing machine M (not necessarily a decider), a string w, and a (different) magic genie. You can ask the magic

Suppose you are given a Turing machine M (not necessarily a decider), a string w, and a (different) magic genie. You can ask the magic genie whether a certain Turing machine accepts a certain input string, and the genie will magically give you the correct yes/no answer. You can ask the genie as many such questions as you like, about any Turing machine and any string.

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