Me quito el sombrero literally translates to 'I take my hat off'. This classic idiom is a sign of great respect and admiration, similar to the English expression 'hats off to you'.
In the song, Camilo uses this phrase to express a deep, selfless love. He says that if a new person can love his partner even more than he does, he will 'take his hat off' to them and gracefully step aside, showing that true love is wanting the best for the other person.
Colombian singer Camilo and Mexican artist Christian Nodal team up for "La Mitad", a track that imagines the absolute worst-case scenario: a breakup where your partner leaves you for someone "better." Instead of getting angry, the singer promises to step aside gracefully if his partner meets her true soulmate—even offering to pass along "dos o tres consejos" (two or three tips) to the new guy. Still, he admits life without her sounds impossible. He claims he would have to find a way "pa' cambiarme de cabeza pa' otra que no sea la mía" (to swap my head for another one that isn't mine) just to stop his brain from obsessing over her.
The real heart of the song comes out in the chorus with a bit of loving, dramatic competition. Even if a future lover gives her double the affection, triple the kisses, and "veintiuno rosas al día" (twenty-one roses a day), the singer insists it will never be enough. When he sings "me quito el sombrero" (I take off my hat / I tip my hat to him), he uses a classic Spanish idiom to admit he would respect the effort, but with one stubborn catch: nobody will ever love her even "la mitad" (half) as much as he does.