Though gorged with food, Peter ran the half mile in (7)

I believe the answer is:

replete

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'though gorged with food' is the definition.
I can't judge whether this defines the answer.

'peter ran the half mile in' is the wordplay.
'ran' indicates anagramming the letters (letters have run around).
'the half' suggests halving the letters.
'in' is an insertion indicator.
'mile' with half the letters taken is 'le'.
'peter' is an anagram of 'repte'.
'repte' placed around 'le' is 'REPLETE'.

Can you help me to learn more?

(Other definitions for replete that I've seen before include "Completely filled" , "Full of food, gorged" , "Full to capacity" , "Filled, well supplied" , "unable to take any more" .)

I've seen this clue in the Evening Standard.

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