paintball gun vs airgun

paintball gun and airgun both are nouns.

Word	Noun	Adjective	Verb	Adverb
paintball gun	Yes	No	No	No
airgun	Yes	No	No	No

As nouns, airgun is a hypernym of paintball gun; that is, airgun is a word with a broader meaning than paintball gun:

paintball gun: an air gun used in the game of paintball; designed to simulate a semiautomatic
airgun: a gun that propels a projectile by compressed air

Other hypernyms of paintball gun include air gun, air rifle, game equipment.

paintball gun (noun)	airgun (noun)
an air gun used in the game of paintball; designed to simulate a semiautomatic	a gun that propels a projectile by compressed air