Problem with theme mods

Hello.

I’m trying to add a translation for the theme settings. I put the file wpm-config.json in the root folder of my theme and added the following code to it

{
    "options": {
        "theme_mods_mytheme": {
            "work_time" : {}
        }
    }
}

“mytheme” is name of my theme folder and “work_time” is name of setting in Customizer config.

When I save the value for the default language, the field for the additional language is cleared. When I save for additional language, it is entered in the main language.

Does the plugin not support the theme settings or am I doing something wrong?

Thank you for your work!