Tiro comes from the verb tirar, which literally means 'to throw'. However, in this song, it's used as popular slang in Argentina, where the artist is from.
In the line "lo que te tiro, ven dame", it doesn't refer to a physical object. It's a flirty way of saying "the move I'm making" or "the hint I'm dropping". It's similar to the English phrase "to shoot your shot", making it a fantastic example of slang in action!
This song is a straight-up, passionate plea to get an ex back. The singer, Luck Ra, lays it all out on the table, admitting their relationship is like a "guerra en el amor" [war in love] but that he's still fighting for it because his heart tells him to. He's stuck thinking about how things used to be, remembering how "Me enamorabas con lo que decías" [You made me fall in love with what you said] and now he just wants to have her back in his fantasies.
He's not subtle about what he wants. The chorus is a direct demand: "Bebé, lo que te pido, ven dame" [Baby, what I'm asking for, come give it to me]. He doesn't want another day to pass where he doesn't see her at sunrise. He repeats over and over that he's waiting for her, promising "Yo sé cómo quererte" [I know how to love you] and begging her to just say yes. It's a classic cuarteto mix of heartbreak and intense desire, all wrapped up in an urgent request to fix what's broken.