Air Medal vs laurel wreath

Air Medal and laurel wreath both are nouns.

Word	Noun	Adjective	Verb	Adverb
Air Medal	Yes	No	No	No
laurel wreath	Yes	No	No	No

As nouns, laurel wreath is a hypernym of Air Medal; that is, laurel wreath is a word with a broader meaning than Air Medal:

Air Medal: a United States Air Force decoration for meritorious achievement while participating in an aerial flight
laurel wreath: an award for winning a championship or commemorating some other event

Other hypernyms of Air Medal include decoration, medal, medallion, palm, ribbon.

Air Medal (noun)	laurel wreath (noun)
a United States Air Force decoration for meritorious achievement while participating in an aerial flight	(antiquity) a wreath of laurel foliage worn on the head as an emblem of victory
	an award for winning a championship or commemorating some other event