[Risolto] Only flag switcher into mobile header in Woodmart Xtemos Theme

Hi,
I'm using Woodmart theme that recommend WPML as a partner plugin.
This theme has a header for mobile. In this header you can place some object included WPML Language switcher.
When you place it, there are few options that don't include the 'only flag' option.
I mean no option to get just flags without language text (like italian..english..).
The reason to not have text language is that this text increase the space and it is cut off.
In attached picture 1 and 1b you can see the available settings and in picture 2 the result (switcher cut-off)

I followed here: https://wpml.org/documentation/getting-started-guide/language-setup/language-switcher-options/ your documentation but any of your steps help.

I also try by creating a custom Switcher and using your [wpml_language_selector_widget] code to insert in the header. It doesn't appear. I do it by following this:
(https://wpml.org/documentation/getting-started-guide/language-setup/language-switcher-options/adding-language-switchers-using-php-and-shortcodes/?utm_source=plugin&utm_medium=gui&utm_campaign=languages)
Please check attached picture 3

In the whole site I use the language switcher also with language text but in mobile it is mandatory not to have the text by the flag.

I think that some css is available to the 'text only' (something like 'display-none')in the mobile header position to have what I show in picture 5 (the is a photoshop simulation).
I think it's a reasonable request, also because it helps mobile usability

I'm not expert in coding, nut I made a lot of site, so usually I can move well in plugin settings.
My site is: link nascosto (top-right corner in mobile view)

Many thanks in advance.

(In case, my first speaking language is italian, but i prefer to use english to easily find a solution to this issue)