Change Menu bar icon in MacOS companion app

Hi! I’m looking for a way to visually display when my partner is on a call/video call so I don’t interrupt her during her meetings. We both have the official Home Assistant companion app for MacOS. My current approach is to show a text like as screenshot above. However, it takes a lot of space from the menu bar and, because of the other icons it usually gets moved behind the notch and not shown at all. I know you can move it to the right but it’s still annoying. I wonder if there’s a way to change the menu bar icon so I don’t have to show a text next to it.