  The existence of two distinct and apparently unrelated populations of dusty
stellar objects in the Nuclear Stellar Cluster (NSC) of the Milky Way, namely
IRS 13 and the S-cluster, are potentially prone to a general process describing
the star formation history in the Galactic Center (GC). The former cluster is
thought to be entangled in the clockwise and counterclockwise disks, a
large-scale stellar distribution revealed by the analysis of stars at different
distances from Sgr A*, the supermassive black hole in the GC. Recently, this
large-scale distribution was reported to exhibit a multi-disk structure with at
least four components. Motivated by this finding, we revisit the anisotropic
IRS 13 cluster and find strong evidence for a disk-like structure. An
examination of about 50 individual stellar orbits reveals a new structure that
does not follow any trend known in the literature. Furthermore, we investigate
the possibility of an inspiral cluster undergoing star formation processes, as
proposed by several authors. Using a simplified N-body simulation to reproduce
our observational results, we conclude that, under certain conditions, a
massive cluster can migrate from the Circum Nuclear Disk toward the inner
parsec. Based on this classification, we revisit the large-scale NACO (VLT)
observations of IRS 13 and find evidence for a separation of the cluster into a
gravitationally stable core remnant and a dissipating part. With the
velocity-resolved H30{\alpha} line and the broadband spectral energy
distribution of IRS 13E3, we provide tentative support for the existence of an
intermediate-mass black hole of ~ 3 x 10^26 M_sun surrounded by a hot gaseous
stream.
