Yes, the first cut should be the deepest
To penetrate beyond the muscle wall's inner regions
Obviously he’s talking about cutting someone, but he’s also talking about the first verse in the song catching your attention and resonating in your mind.
“The first cut should be the deepest” is also a clever reference to the 1967 classic The First Cut is the Deepest, written by Cat Stevens, performed by P.P. Arnold, and covered to death since then.
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