Crossword Genius

Footwear is carbon free, for the record (3)

Ross

I believe the answer is:

log

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'the record' is the definition.
(log is a kind of record)

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for log that I've seen before include "Register" , "Ship's record" , "Record kept" , "number in mathematical table" , "Bulky piece of wood" .)

I've seen this clue in The Independent.
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