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Yep.That is the definition of a HUMAN person.
The word 'person' can be used in a narrow sense and broad sense.
'Person' can refer to a single individual person in the narrow sense or a single group unity of several individual persons in the broad sense.
This broad sense of 'person' is frequently used in legal declarations, such as: The State of New York vs. ATT&T Corporation.
Even in scripture we have this broad sense utilized, as the people (plural) of Jerusalem (singular) are spoken of as a person that is a unity of several individual persons.
(3) And say, Thus saith the Lord GOD unto Jerusalem; Thy birth and thy nativity is of the land of Canaan; thy father was an Amorite, and thy mother an Hittite.
(4) And as for thy nativity, in the day thou wast born thy navel was not cut, neither wast thou washed in water to supple thee; thou wast not salted at all, nor swaddled at all.
(5) None eye pitied thee, to do any of these unto thee, to have compassion upon thee; but thou wast cast out in the open field, to the lothing of thy person, in the day that thou wast born.
To get all hung up on the word 'person' and only use it in the narrow sense is disingenuous to the argument.