I use OBS Studio with my Streamdeck, a Logitech Streamcam, NVIDIA Broadcast, a condenser microphone via a Steinberg XLR audio interface along with Elgato Key lights and iHue fill lights for my working from home office Google Meets.
Startup and shut downs of the entire stack including launching into Google Meets are automated with the deck (one button to macro up, one to macro down), and with proper lighting as well as NVIDIA Broadcast, the audio and video quality is just amazing. The amount of tech I'm throwing at how I connect with Meet may seem like overkill, but it really makes a lot of sense to spend some time on what's my primary interface with my colleagues and customers.
If I need to quickly mute my image, a scene in OBS that shows "be right back" is an immediate Streamdeck key press away. Next to it is the audio source mute key. It's great.