On mobile, the AI Concierge launcher can sit on top of other buttons on your site, especially in the search modal.
How to fix it. Update the AI Concierge plugin to version 1.94.0 or later. This version includes two changes that remove the overlap. First, the launcher hides itself automatically whenever a full-screen window opens over the page. Second, the mobile corner bubble is replaced by a slim tab on the right edge of the screen, about a quarter of the way up. This keeps it clear of the action rows at the bottom of modals and sheets.
Getting the update. If your site is self-hosted, the update arrives through the normal WordPress Updates screen. If your site runs a version of AI Concierge below 1.76.3, update to a current version first, because automatic update delivery was only added in 1.76.3.