There’s a heavy current, got a long way to swim
A double entendre, both interpretations making use of metaphors and intertwining with each other
Mack has some major problems to battle with, and he know that he won’t just overcome them in one take. It’s a long road, and everything works against him — thus “heavy current”.
He’s gonna drown his aforementioned sorrows in liquor, but they are so intense that he’s gonna have to drink a lot for them to vanish. He uses swimming in a river with heavy current as a metaphor for this, since liquor is a liquid, which he’s trying to “swim through”. This further indicates how much alcohol he’s planning on drinking
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