Working within the vector space $\complex{3}$, determine if $\vect{b} = \colvector{4\\3\\1}$ is in the subspace $W$, \begin{equation*} W = \spn{\set{ \colvector{3\\2\\3}, \colvector{1\\0\\3}, \colvector{1\\1\\0}, \colvector{2\\1\\3} }} \end{equation*}