Crossword Genius

One judges cooked rarebit (7)

Ross

I believe the answer is:

arbiter

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'one judges cooked rarebit' is the definition.
I can't judge whether this definition defines the answer.

'cooked rarebit' is the wordplay.
'cooked' indicates an anagram (letters cooked into a new form).
'rarebit' is an anagram of 'ARBITER'.

Can you help me to learn more?

(Other definitions for arbiter that I've seen before include "Rarebit? (anag)" , "He'll decide" , "One judges a disputed issue" , "Settler of disputes" , "One appointed to settle a dispute" .)

I've seen this clue in The Sun.
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