|q⟩ Bad Qubits

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Predict the output
Sampling this circuit 1024 times on the seeded simulator (seed 1368), how many shots land on |000⟩? Estimate P(|000⟩) × 1024 and pick the closest option.
⚛ The apparatus
const c = circuit(3);
// Step 1: prepare |+⟩ on qubit 0
c.h(0);
// Step 2: Bell pair on qubits 1 and 2
c.h(1);
c.cx(1, 2);
// Step 3: Bell-basis rotation on Alice's qubits
c.cx(0, 1);
c.h(0);
// Step 4 & 5: deferred-measurement corrections
c.cx(1, 2);
c.cz(0, 2);
return c;

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