Reckoned to have played a part (7)

I believe the answer is:

figured

I believe this clue is a double definition.

'reckoned' is the first definition.
('figure' can be a synonym of 'reckon')

'played a part' is the second definition.
('figure' can be a synonym of 'play a part')

'to have' is the link.

(Other definitions for figured that I've seen before include "Thought" , "Reckoned" .)

I've seen this clue in the Evening Standard.

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