Had that happen to a Silver Ameraucana cock last fall after he fence fought a few too many times. He was fine. I didn't do anything except clean his face off a bit... he had no issue eating.
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That does look broken. The smaller part is likely the soft tissue, the 'quick', that was exposed.
With a break like that it just takes time to grow back sort of like a finger nail that gets ripped off into the nail bed.