|q⟩ Bad Qubits

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Multiple choice
Run this circuit, then measure all 3 qubits at once. What is the probability of the joint outcome |100⟩ (qubit 0 leftmost)?
⚛ The apparatus
const gamma = Math.PI / 8;
const beta  = Math.PI / 8;
const c = circuit(3);

c.h(0); c.h(1); c.h(2);

// edge (0, 1)
c.cx(0, 1); c.rz(-2 * gamma, 1); c.cx(0, 1);
// edge (1, 2)
c.cx(1, 2); c.rz(-2 * gamma, 2); c.cx(1, 2);
// edge (0, 2)
c.cx(0, 2); c.rz(-2 * gamma, 2); c.cx(0, 2);

c.rx(2 * beta, 0);
c.rx(2 * beta, 1);
c.rx(2 * beta, 2);

c.measure();
return c;

Commit your prediction for P(|100⟩) — then run it.