This shit'll make the back of the camel break, but I quit, so I can't take a Camel break
The idiom “straw that broke the camel’s back” refers to the action that leads to a person’s breaking point. Soul revises the structure of the idiom to pair “camel break” with “Camel break” (a cigarette break that Soul, who quit smoking, can’t take).
Also, this is the second cigarette brand name Soul has mentioned in the song.
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