baseball game vs baseball player

baseball game and baseball player both are nouns.

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

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