brew vs alcoholic drink

brew and alcoholic drink both are nouns.

Word	Noun	Adjective	Verb	Adverb
brew	Yes	No	Yes	No
alcoholic drink	Yes	No	No	No

As nouns, alcoholic drink is a hypernym of brew; that is, alcoholic drink is a word with a broader meaning than brew:

brew: drink made by steeping and boiling and fermenting rather than distilling
alcoholic drink: a liquor or brew containing alcohol as the active agent

Other hypernyms of brew include alcohol, alcoholic beverage, inebriant, intoxicant.

brew (noun)	alcoholic drink (noun)
drink made by steeping and boiling and fermenting rather than distilling	a liquor or brew containing alcohol as the active agent

brew (verb)	alcoholic drink (verb)
sit or let sit in boiling water so as to extract the flavor
prepare by brewing