  The dark dimension provides a mechanism to resolve the cosmological hierarchy
problem and assembles a colosseum for dark matter contenders. In a series of
recent publications we investigated whether primordial black holes (PBHs)
perceiving the dark dimension could constitute all of the dark matter in the
universe. A key assumption of these investigations is that PBHs remain confined
to the brane during the entire evaporation process. As a consequence, the
abundance of PBHs evaporating at the present epoch is severely constrained by
observations of both the extragalactic and Galactic $\gamma$-ray backgrounds.
As a natural outgrowth of these investigations, herein we relax the assumption
of brane localized PBHs and reexamine the evaporation process of PBHs which are
allowed to escape into the dark dimension. We show that the escape of PBHs from
the brane is almost instantaneous. Armed with this pivotal finding we reassess
the allowed mass range of PBHs to assemble all cosmological dark matter, which
is estimated to be $10^{11} \lesssim M_{\rm BH}/{\rm g} \lesssim 10^{21}$.
