add country flags to top nav

Site URL: https://www.alarahotels.com/

hello!

i'm trying to add an icon menu to my social icon section in my header. the goal is to have a flag icon, and when hovered over it displays additional country flags that represent other languages.  i've been able to add a custom icon to my header, but can't figure out how to add a custom menu. anyone have any ideas?

here is the code i'm currently using...

/* remove current icon */
.header-actions-action--social a:first-child svg {
    display: none;
}
/* set new icon */
.header-actions-action--social a:first-child {
    background-image: url(https://static1.squarespace.com/static/5f69af599c1f552f060d52fd/t/5fbc763dc7afe470b5488b72/1606186557259/United-Kingdom.png);
    background-size: cover;
    background-repeat: no-repeat;
}

Hi. Have you solved it yet?