It's slang. 'Raça' , as slang, means you're doing something with all your dedication, or you did something in a very hard way.
Example: "Vencemos esse jogo com muita raça." (We won the game using our dedication, all our ability).
Example: "Ele não tinha todos os recursos para fazer algo, foi na raça." (He didn't have all the means to do something, then he tried even this way, having less conditions.)
I'm not sure if there's a synonym in English.