  We compute the renormalized entanglement entropy (REE) for BPS black
solutions in ${\cal N}=2$, 4d gauged supergravity. We find that this quantity
decreases monotonically with the size of the entangling region until it reaches
a critical point, then increases and approaches the entropy density of the
brane. This behavior can be understood as a consequence of the REE being driven
by two competing factors, namely entanglement and the mixedness of the black
brane. In the UV entanglement dominates, whereas in the IR the mixedness takes
over.
