I'm having this issue as well since I upgrade to Monterey version, I am using a MX Master 3 mouse and K375s Multi device keyboard both from Logitech and they work fine, however as soon as I connect my AirPods Pro to the computer I start getting issues with the all of the devices. I usually use the AirPods for Zoom meeting with other team members and they tell me that my voice is weird, like robotic and they cannot understand me. If I disconnect mouse and keyboard the issue gets resolved, but before Monterey I was able to connect all of them at the same time without a problem... I hope apple fixes this issue soon since it's really annoying