Function evaluate_wiring_mle_public 

pub fn evaluate_wiring_mle_public<F: FieldOps>(
    mul_constraints: &[MulConstraint<WitnessIndex>],
    public: &[F],
    lambda: &F,
    r_x_tensor: &[F],
) -> F

Evaluates the public segment’s contribution to the wiring MLE.

r_x_tensor is the eq-indicator partial evaluation at r_x.