hair of the dog vs drink

hair of the dog and drink both are nouns.

Word	Noun	Adjective	Verb	Adverb
hair of the dog	Yes	No	No	No
drink	Yes	No	Yes	No

As nouns, drink is a hypernym of hair of the dog; that is, drink is a word with a broader meaning than hair of the dog:

hair of the dog (noun)	drink (noun)
an alcoholic drink supposed to cure a hangover	the act of drinking alcoholic beverages to excess
	the act of swallowing
	any liquid suitable for drinking
	a single serving of a beverage
	any large deep body of water

hair of the dog (verb)	drink (verb)
	be fascinated or spell-bound by; pay close attention to
	take in liquids
	consume alcohol
	drink excessive amounts of alcohol; be an alcoholic
	propose a toast to