baseball player vs baseball game

baseball player and baseball game both are nouns.

Word	Noun	Adjective	Verb	Adverb
baseball player	Yes	No	No	No
baseball game	Yes	No	No	No

baseball player (noun)	baseball game (noun)
an athlete who plays baseball	a ball game played with a bat and ball between two teams of nine players; teams take turns at bat trying to score runs