Hey Gaël,
Thanks for reaching out to us on this! I’ll help you see what’s up with the search bar.
Can you please follow-up with an example of this in your site so I can take a look?
Also, Can you please follow the steps described in our Testing for conflicts guide? This way we can see if this is a problem in our plugin or a conflict with the theme or other installed plugins. It would be great if you could share your system information with me so I can check if everything looks right on that end.
Please let me know about it,
Best,
Nico