mobile search form wrong urls

Sorry could not understand your question.
What is this https://www.giustitessuti.it/wordpress URL?

In wordpress settings:

WordPress Address (URL): https://www.giustitessuti.it/wordpress

Site Address (URL): https://www.giustitessuti.it

when I make a search with mobile menu, for example searching SETA, the url is generated is

https://www.giustitessuti.it/wordpress/?s=SETA&post_type=product

and gives a 404 error because it points to but the WordPress Address instead of the Site Address.

The working url would have been

https://www.giustitessuti.it/?s=SETA&post_type=product

withouth the /wordpress/ in the link.

> WordPress Address (URL): https://www.giustitessuti.it/wordpress
> Site Address (URL): https://www.giustitessuti.it

both should be same ( https://www.giustitessuti.it ) unless you want a different page rather than the root installation is your home.

more details https://www.ads-software.com/support/article/changing-the-site-url/

nope, I installed at first the site in a sub-folder in order to develop it and then I moved to the root of the domain. Is a common practice.

Giving WordPress Its Own Directory

I am still not sure about the issue, let me try to create the issue locally and update in next version.