Old English pyffan, *puffian "to blow with the mouth," of imitative origin. Compare pouf, from French. Especially "to blow with quick, intermittent blasts" (early 14c.). Meaning "pant, breathe hard and fast" is from late 14c.
The meaning "to fill, inflate, or expand with breath or air" is by 1530s. The intransitive sense, in reference to small swellings and round protuberances, is by 1725. The transitive figurative sense of "exalt" is from 1530s; shading by early 18c. into the meaning "praise with self-interest, give undue or servile praise to." Related: Puffed; puffing.
word-forming element making nouns meaning "place for, art of, condition of, quantity of," from Middle English -erie, from Latin -arius (see -ary). Also sometimes in modern colloquial use "the collectivity of" or "an example of."
<a href="https://www.etymonline.com/word/puffery">Etymology of puffery by etymonline</a>
Harper, D. (n.d.). Etymology of puffery. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/puffery