Let the pronoun they serve as an indefinite 3rd person singular pronoun. At the most basic level, this allows the he/she conundrum to be circumvented. However, this more generally allows deliberate vagueness, by allowing description without detail. Even gender and number can be obfuscated.

No idea on a solution, pronoun based or otherwise, for distinguishing between the 1st person plurals formed by 1st + 2nd from those formed by 1st + 3rd.

We are so awesome. We-GFWBAFB2P, that is.
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Today’s word: Insieme