Meredith Grey, Olivia Benson or Benjamin Button, to Taylor Swift (3)

I believe the answer is:

pet

(Other definitions for pet that I've seen before include "Favourite, favoured one" , "Favourite - maybe teacher's" , "Caress - budgie, perhaps?" , "Particular favourite" , "Little darling" .)

I've seen this clue in the USA Today.

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