Damanged 10/3 Wire

[erikbaar]

I have a 10/3 dryer wire whose sheathing was damaged while drilling through a joist. The copper does not appear to be damaged.

Ideally, the best fix would be to replace the entire wire.

Would this solution be legal per NEC? Splice the wire inside a ceiling box for a nearby smoke detector assuming there was enough slack in the wire to do so?

 

[iwire]

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