com/en/definition/very : Actual; precise (used to emphasize the exact identity of a particular person or thing)
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This is adjective sense 1 at https://www.lexico.com/en/definition/very:
Actual; precise (used to emphasize the exact identity of a particular person or thing)
Another example:
It's funny that you would mention Gail; she's calling on my other line this very minute.