|q⟩ Bad Qubits

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Multiple choice
For this circuit, what is the probability that measuring all 4 qubits yields exactly |0011⟩ (qubit 0 leftmost)?
⚛ 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 P(|0011⟩) — then run it.