Baffle, puzzle (7)

I believe the answer is:

perplex

I believe this clue is a double definition.

'baffle' is the first definition.
(I know that baffle can be written as perplex)

'puzzle' is the second definition.
(I know that puzzle can be written as perplex)

(Other definitions for perplex that I've seen before include "Make (someone) baffled" , "Bewilder" , "Baffle, puzzle" , "Nonplus" , "Bamboozle" .)

I've seen this clue in The Irish Times and the Irish Times (Simplex).

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