  We show that on every non-$G_2$ complex symmetric space of rank two, there
are complete Calabi-Yau metrics of Euclidean volume growth with prescribed
horospherical singular tangent cone at infinity, providing the first examples
of affine Calabi-Yau smoothings of singular and irregular tangent cone. As a
corollary, we obtain infinitely many examples of Calabi-Yau manifolds
degenerating to the tangent cone in a single step, supporting a recent
conjecture by Sun-Zhang, which was only proved for asymptotically conical
Calabi-Yau manifolds in the sense of Conlon-Hein.
