  Simulations based on a coupled-channel transport model have been performed to
analyze the feasibility to study the in-medium $\omega$ mass exploiting the
process $\gamma+A\to\pi^0\gamma+X$ for C, Ca and Nb nuclei. The distortions due
to final-state interactions of the $\pi^0$ and background contributions from
the reaction $\gamma+A\to\pi^0\pi^0+X$ are found to be small in the mass range
of interest ($0.6<M_{\pi^0\gamma}<0.8$ GeV). Furthermore, the effect of the
detector resolution on the $\pi^0\gamma$-mass determination is discussed.
