Embriagué is the past tense of the verb embriagar, which literally means "to get drunk". It's a powerful and poetic word to describe a state of intoxication.
In the song, Chencho Corleone uses it metaphorically, singing "de sus besos embriagué" (I got drunk on her kisses). He's not talking about alcohol, but about the overwhelming, intoxicating feeling of being with this person, as if their kisses alone are enough to make him lose his senses. It's a beautiful example of how Spanish uses figurative language to express intense emotions.
This song is all about a casual, no-strings-attached relationship that's fueled by smoke and pure physical chemistry. Chencho and Peso Pluma describe a connection that's intense but completely free of rules. They both know exactly what it is: "Los dos sabemos que esto no es pa' casarse" (We both know this isn't for marriage). There's no law between them, as they say, "Nada específico, nada que nos obligue" (Nothing specific, nothing that obligates us).
The whole vibe is centered around getting high together. The chorus is literally a set of instructions: "Inhala humo, aguanta el humo / Humo, respira humo" (Inhale smoke, hold the smoke / Smoke, breathe smoke). This shared experience seems to be the foundation of their connection. It's a relationship based on living in the moment, hooking up, and not getting mad about it the next day. As Peso Pluma puts it, "Al otro día ni le llamé, ni tampoco ella me llamó / Y ninguno de los dos se encojonó" (The next day I didn't call her, nor did she call me / And neither of us got pissed off). It's a simple, straightforward arrangement about mutual attraction and a shared love for 'la nota' (the high).