  We study closed three-dimensional Alexandrov spaces with a lower Ricci
curvature bound in the $\mathsf{CD}^*(K,N)$ sense, focusing our attention on
those with positive or nonnegative Ricci curvature. First, we show that a
closed three-dimensional $\mathsf{CD}^*(2,3)$-Alexandrov space must be
homeomorphic to a spherical space form or to the suspension of $\mathbb{R}P^2$.
We then classify closed three-dimensional $\mathsf{CD}^*(0,3)$-Alexandrov
spaces.
