desert vs take flight

desert is a noun but take flight is not a noun.

Word	Noun	Adjective	Verb	Adverb
desert	Yes	No	Yes	No
take flight	No	No	Yes	No

As verbs, take flight is a hypernym of desert; that is, take flight is a word with a broader meaning than desert:

desert: desert (a cause, a country or an army), often in order to join the opposing cause, country, or army
take flight: run away quickly

Other hypernyms of desert include flee, fly.

desert (noun)	take flight (noun)
arid land with little or no vegetation
(usually plural) a person's deservingness of or entitlement to reward or punishment

desert (verb)	take flight (verb)
leave someone who needs or counts on you; leave in the lurch	run away quickly
leave behind
desert (a cause, a country or an army), often in order to join the opposing cause, country, or army