brew vs alcoholic beverage

brew and alcoholic beverage both are nouns.

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

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

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

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

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