Crossword Genius

Some might say it’s Adam or I, grammatically speaking (5,6)

Ross

I believe the answer is:

first person

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'speaking' is the definition.
The definition and answer can be both related to communication as well as being singular nouns.
Perhaps there's a link between them I don't understand?

I cannot understand how the rest of the clue works.

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(Other definitions for first person that I've seen before include "Adam" , "Rebecca's written in it" , "royal "we", say" , "I or we (grammar)" , "was a faller at the outset" .)

I've seen this clue in The Times.
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