|q⟩ Bad Qubits

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Predict the output
Sampling this circuit 1024 times on the seeded simulator (seed 1476), how many shots land on |000⟩? Estimate P(|000⟩) × 1024 and pick the closest option.
⚛ The apparatus
// H on qubit 0 makes (|0> + |1>)/sqrt2 on the first qubit;
// CNOT(0->1) and CNOT(0->2) entangle the rest, giving (|000> + |111>)/sqrt2.
const c = circuit(3);
c.h(0);
c.cx(0, 1);
c.cx(0, 2);
return c;

Commit your prediction for counts of |000⟩ over 1024 shots — then run it.