  In our article [arXiv:1511.05226], we studied the commutant
$\mathcal{C}'\subset \operatorname{Bim}(R)$ of a unitary fusion category
$\mathcal{C}$, where $R$ is a hyperfinite factor of type $\rm II_1$, $\rm
II_\infty$, or $\rm III_1$, and showed that it is a bicommutant category. In
other recent work [arXiv:1607.06041, arXiv:2301.11114] we introduced the notion
of a (unitary) anchored planar algebra in a (unitary) braided pivotal category
$\mathcal{D}$, and showed that they classify (unitary) module tensor categories
for $\mathcal{D}$ equipped with a distinguished object.
  Here, we connect these two notions and show that finite depth objects of
$\mathcal{C}'$ are classified by connected finite depth unitary anchored planar
algebras in $\mathcal{Z}(\mathcal{C})$. This extends the classification of
finite depth objects of $\operatorname{Bim}(R)$ by connected finite depth
unitary planar algebras.
