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\label{fig:mu-lcso} \label{fig:lcso-mu}  Stability energies for LaCuSO, La$_2$CuS$_2$O$_2$ and La$_2$CuSO$_3$ as a function of the oxygen chemical potential. We find that LaCuSO is nearly stable for a wide range of potentials, while our target compositions remain unstable at over 0.5eV/atom above the hull.