"Hawk Tuah" officialy made its way into the MLB on Wednesday night ... when during a broadcast of the Braves vs. Cardinals game, an announcer actually said the now-viral phrase live on-air!
It all happened during the second inning of the teams' double-header at Busch Stadium ... when Atlanta's announcers were talking about some saliva Alec Burleson had just leaked from his mouth.
The guys noted the St. Louis outfielder didn't quite clear his shoulder with his spit while at home plate -- and they went on to have a spirited convo about it.