braggy vs bragging

braggy is not a noun while bragging is a noun.

Word	Noun	Adjective	Verb	Adverb
braggy	No	Yes	No	No
bragging	Yes	Yes	No	No

As adjectives, braggy and bragging are synonyms defined as:

Other synonyms of braggy include big, boastful, braggart, cock-a-hoop, crowing, self-aggrandising, self-aggrandizing.

braggy (noun)	bragging (noun)
	an instance of boastful talk

braggy (adjective)	bragging (adjective)
exhibiting self-importance	exhibiting self-importance