The domino-shuffling algorithm can be seen as a stochastic process describing the irreversible growth of $(2+1)$-dimensional discrete interface. Its stationary speed $v_{\mathtt w}(\rho)$ depends on average interface slope $\rho$, well edge weights $\mathtt w$, that are assumed to periodic in space. We show this model belongs Anisotropic KPZ class: one has $\det [D^2 v_{\mathtt w}(\rho)]<0$ and...