  The IceCube Neutrino Observatory has detected high-energy astrophysical
neutrinos in the TeV-PeV range. These neutrinos have an isotropic distribution
on the sky, and therefore, likely originate from extragalactic sources. Active
Galactic Nuclei form a class of astronomical objects which are promising
neutrino source candidates given their high electromagnetic luminosity and
potential ability to accelerate cosmic rays up to energies greater than
10$^{16}$ eV. Interactions of these cosmic rays within the AGN environment are
expected to produce both neutrinos and pionic gamma rays. Some hadronic models
of AGN emission suggest that such gamma rays can in turn interact with the
dense photon fields of AGN and cascade down to hard X-rays and MeV gamma rays.
We present an update on the IceCube stacking analysis searching for high-energy
neutrinos from hard X-ray sources sampled from the $\textit{Swift}$-BAT AGN
Spectroscopic Survey.
