|q⟩ Bad Qubits

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Multiple choice
After running this circuit, what is the probability of measuring |000⟩?
⚛ The apparatus
const c = circuit(3);
c.h(0); c.h(1);
c.cx(0, 2);
c.h(0); c.h(1);
c.measure();
return c;

Commit your prediction for P(|000⟩) — then run it.