On the Hilbert scheme of curves of degree \(d\) and genus \(\frac{(d-3)(d-4)}{2}\) The behavior of the second pluri-genus of normal surface singularities of type \(_*A_n\), \(_*D_n\), \(_*E_n\), \(_*\widetilde A_n\), \(_*\widetilde D_n\) and \(_*\widetilde{E_n}\) 