1560s, "north or northeast wind," from Old Spanish briza "cold northeast wind;" in West Indies and Spanish Main, the sense shifting to "northeast trade wind," then "fresh wind from the sea." English sense of "gentle or light wind" is from 1620s. An alternative possibility is that the English word is from East Frisian brisen "to blow fresh and strong." The slang for "something easy" is American English, c.1928.
"move briskly," 1904, from breeze (n.). Related: Breezed; breezing.
(Variations: bazoo or face or gab or yap may replace mouth) To talk irresponsibly and inappropriately, esp to bluster and brag; talk big: You come busting in here and shoot off your bazoo at me (entry form 1864+)