Chingada is a very versatile and strong Mexican Spanish slang word. While it can literally refer to a 'f***ed up' situation or place, in this context, the phrase "A la chingada" is an emphatic way of saying "To hell with it" or "Screw it."
In the song, it's used to express a sudden and definitive dismissal of a past relationship or feeling, conveying a sense of frustration and moving on. It's a raw and powerful expression of letting go.
Eden Muñoz isn't holding back in "Bájale"! This song is a fiery declaration from someone who's had enough of a partner's drama. The title itself, "Bájale" [Lower it], is like saying "calm down" or "take it down a notch." He's telling his partner straight up, "Si quieres que esto dura neta bájale" [If you want this to last, seriously, lower it]. He's tired of the games and makes it clear that if they're looking for an excuse to leave, they should just go: "Si estás buscando escusa pa' marcharte ve, Por ahí por donde entraste por ahí pícale" [If you're looking for an excuse to leave, go, The way you came in, that's the way out].
It's a powerful message of self-respect, where he warns, "Pero un día de estos me vas a desconocer" [But one of these days you're going to not recognize me]. The chorus really drives the point home with some blunt language: "Y en tres palabras, A la chingada" [And in three words, To hell with it]. He even sarcastically says, "Qué bueno que era amor, Imagínate si no" [Good thing it was love, Imagine if it wasn't]. Now, he's all about "Tirar desmadre" [raising hell] and declares, "Y que el amor, Chingue a su madre" [And love, Can go to hell]. Ouch! He's definitely moved on, because he finishes by saying, "Cuando quieras volver, Ya no se va a poder" [When you want to come back, It won't be possible anymore].