In the template "main-menu" in
https://code.ametys.org/projects/WEB/repos/skin-intranet-search/browse/main/skin-intranet-search/stylesheets/menus.xsl

it would be interesting to set up a separate template for each
<div class="level level-X">

we could easily override when we want for example to add a condition in one of the enclosing if