Every type of person, each topless, turned up for a walk in the park (6)

I believe the answer is:

stroll

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'walk in the park' is the definition.
(I've seen this in another clue)

I don't understand the remainder of the clue.

(Other definitions for stroll that I've seen before include "Promenade" , "Amble or ramble" , "Walk slowly and idly" , "A casual or leisurely walk" , "A quiet, pleasant walk" .)

I've seen this clue in The Times.

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