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