Ahogarme means "to drown myself." It's a strong and evocative verb that immediately conveys a sense of desperation or overwhelming emotion.
In the context of "No Quiero Verte," the singer uses this word to express a desire to escape his pain and heartbreak by drowning himself "en el alcohol" (in alcohol). This metaphorical use highlights the intensity of his feelings and his struggle to cope with the end of a relationship, making it a memorable and impactful word in the lyrics.
This song, "No Quiero Verte" [I Don't Want to See You] by Marama and Hernan y La Champion's Liga, is all about the aftermath of a breakup where one person is completely over it and ready to move on. The singer is pretty blunt, saying "No quiero verte de nuevo, no quiero, no, no quiero más de tu juego ni tu mentiras de amor" [I don't want to see you again, I don't want, no, I don't want any more of your game or your lies of love].
Even though they admit to missing the person sometimes, it's more about the memory of a perfume on a pillow or things in the room, not the person themselves. They're done with the games and the lies, and they're definitely not going to be there when the ex tries to call again. The singer even says, "Ni se te ocurra venir a pedir perdón de noche a mi pobre corazón" [Don't even think about coming to ask my poor heart for forgiveness at night]. It's a clear message: this relationship is over, and they're moving on, maybe even by "ahogarme en el alcohol" [drowning myself in alcohol] for a bit.