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Assimilation of all-sky satellite microwave (MW) observations into Numerical Weather Prediction (NWP) models plays an important role in improving routine weather forecasts as well as prediction of extreme weather events such as tropical cyclones (Duncan et al., 2022). Unlike infrared observations which are normally saturated in the presence of optically thick clouds, MW instruments continue to provide useful information even in the presence of deep convective clouds. Data assimilation systems generally use a fast radiative transfer (RT) model as the forward operator to assimilate satellite observations into the first guess provided by the NWP models (Baordo &