I recently took my commercial ASEL ride and must retake a few parts of the
practical portion, but the complex single I've been using is no longer
available to me. A CFI friend suggested that I could start my multiengine
training now, then take a combined ASEL/AMEL commercial ride, whereby the
complex requirement would be satisfied by the twin, and I could do the areas
I need to retake in a non-complex single. Is this permissible?

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Matt