Accessibility issues with chat widget

We noticed a couple of accessibility styling issues with the chat widget. On focus / hover, there is no indication that the chat widget is targeted. Same with the minimize button within the chat widget. This makes it difficult for keyboard-only users to know when they are targeting the chat widget and its internal buttons.

There should be some kind of style indicator so that the user knows when they are focused on the chat widget. I'm curious what others have done and/or if there is already a built-in solution to this that I'm just missing.