Crossword Genius

At any time set out for peak (7)

Ross

I believe the answer is:

everest

'for peak' is the definition.
(Everest is an example)

'at any time set out' is the wordplay.
'at any time' becomes 'ever' (synonyms).
'out' indicates an anagram (out can mean wrong or inaccurate).
'set' with letters rearranged gives 'est'.
'ever'+'est'='EVEREST'

(Other definitions for everest that I've seen before include "Himalayan mount" , "The world's highest mountain" , "The highest mountain of all (7)" , "Mountain named after a British surveyor general of India" , "Himalyan peak" .)

I've seen this clue in The Sun.
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