team spirit vs disposition

team spirit and disposition both are nouns.

Word	Noun	Adjective	Verb	Adverb
team spirit	Yes	No	No	No
disposition	Yes	No	No	No

As nouns, disposition is a hypernym of team spirit; that is, disposition is a word with a broader meaning than team spirit:

team spirit: the spirit of a group that makes the members want the group to succeed
disposition: your usual mood

Other hypernyms of team spirit include temperament.

team spirit (noun)	disposition (noun)
the spirit of a group that makes the members want the group to succeed	the act or means of getting rid of something
	your usual mood
	a natural or acquired habit or characteristic tendency in a person or thing
	an attitude of mind especially one that favors one alternative over others