Cancellation of projective modules over polynomial extensions over a two-dimensional ring

Let R be a commutative Noetherian ring of dimension two with 1/2∈R and let A=R[X1,⋯,Xn]. Let P be a projective A-module of rank 2. In this article, we prove that P is cancellative if ∧2(P)⊕A is cancellative.