Conscript with cool air we're told (7)

I believe the answer is:

draftee

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'conscript' is the definition.
(synonyms)

I don't understand the remainder of the clue.

(Other definitions for draftee that I've seen before include "US conscript" , "Rookie" , "One forced to join" , "Soldier, perhaps unwilling" , "one brought into service" .)

I've seen this clue in The Independent.

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