On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II

If $(A,\mathfrak{m})$ is a hypersurface ring of dimension $d$ with $e(A)=3$. Let $M$ be an MCM $A$-module with $\mu (M)=4$ then we prove that $\text{depth}G(M)\ge d-3$.