Let's assume we have the q-ary lattice
$$ \mathcal{L}_q({\bf A})=\{ {\bf z}\in \mathbb{Z}^{n} : \exists {\bf s}\in \mathbb{Z}^{n}_{q} \ , \ {\bf z}={\bf A s}^{T} \mod q \},$$
where ${\bf A}\in \mathbb{Z}^{n\times n}_{q}$.
My question is, can I use the Babai's algorithm with input the matrix ${\bf A}$ and a target vector ${\bf t}\in \mathbb{Z}_{q}^{n}$, to find a close lattice vector to ${\bf t}$ ?