|q⟩ Bad Qubits

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Predict the output
Sampling this circuit 1024 times on the seeded simulator (seed 1248), how many shots land on |0000⟩? Estimate P(|0000⟩) × 1024 and pick the closest option.
⚛ The apparatus
const c = circuit(4);
// 1. distribute two Bell pairs
c.h(0);
c.cx(0, 1);
c.h(2);
c.cx(2, 3);
// 2. bilateral CNOT (Alice and Bob each apply one locally)
c.cx(0, 2);
c.cx(1, 3);
return c;

Commit your prediction for counts of |0000⟩ over 1024 shots — then run it.