Goes around Paris, France, in March (4)

I believe the answer is:

pace

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'march' is the definition.
(thesaurus)

I can't explain the remainder of the clue.

(Other definitions for pace that I've seen before include "Speed of a single step?" , "Gait" , "With the leave of; speed" , "speed of movement" , "Rate of progress" .)

I've seen this clue in the Irish Times.

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