  We study a limit of the Kerr-(A)dS spacetime in a general dimension where an
arbitrary number of its rotational parameters is set equal. The resulting
metric after the limit formally splits into two parts - the first part has the
form of the Kerr-NUT-(A)dS metric analogous to the metric of the entire
spacetime, but only for the directions not subject to the limit, and the second
part can be interpreted as the K\"{a}hler metrics. However, this separation is
not integrable, thus it does not lead to a product of independent manifolds. We
also reconstruct the original number of explicit and hidden symmetries
associated with Killing vectors and Killing tensors. Therefore, the resulting
spacetime represents a special subcase of the generalized Kerr-NUT-(A)dS metric
that retains the full Killing tower of symmetries. In $D=6$, we present
evidence of an enhanced symmetry structure after the limit. Namely, we find
additional Killing vectors and show that one of the Killing tensors becomes
reducible as it can be decomposed into Killing vectors.
