conditional display of menu according to the taxonomies of a store

I have a list of sophrologists who have been trained in two specialties: Hypnoresonance and Hypnatal.

I would like to vary the display of menus according to the taxonomies of each store.
I already use conditional menus plugin (https://themify.me/conditional-menus) for other things on my site.
I saw in all the parameters of this plugin that the taxonomies of store locator appeared, but obviously it has no effect…

if the plugin sees the taxonomies of store locator is that it must work since for other options it works…
Is there anything to do on the side of store locator?

thanks a lot!

best regards.