  In this paper, we describe holomorphic quantizations of the cotangent bundle
of a symmetric space of compact type $T^*(U/K)\cong U_\mathbb{C}/K_\mathbb{C}$,
along Mabuchi rays of $U$-invariant K\"ahler structures. At infinite geodesic
time, the K\"ahler polarizations converge to a mixed polarization
$\mathcal{P}_\infty$. We show how a generalized coherent state transform
relates the quantizations along the Mabuchi geodesics such that holomorphic
sections converge, as geodesic time goes to infinity, to distributional
$\mathcal{P}_\infty$-polarized sections. Unlike in the case of $T^*U$, the gCST
mapping from the Hilbert space of vertically polarized sections are not
asymptotically unitary due to the appearance of representation dependent
factors associated to the isotypical decomposition for the $U$-action. In
agreement with the general program outlined in [Bai+23], we also describe how
the quantization in the limit polarization $\mathcal{P}_\infty$ is given by the
direct sum of the quantizations for all the symplectic reductions relative to
the invariant torus action associated to the Hamiltonian action of $U$.
