This is the 8487th most frequent French word.
agitent
"Agitent" means "they shake" or "they stir."
The verb 's'agitent' is reflexive here, describing how the leaves move themselves in reaction to the wind.
Les feuilles d'automne s'agitent dans le vent léger.
The autumn leaves stir in the gentle wind.
The verb 'agitent' is used in a transitive manner, indicating that the protesters are actively moving (waving) the flags.
Les manifestants agitent des drapeaux pour revendiquer leurs droits.
The protesters wave flags to assert their rights.
Here, 'agite' is metaphorical, used to describe provoking or bringing attention to an idea in the discourse.