Eye contact through camera iris is key
A 4k Microsoft designed Surface/Teams PC monitor with embedded high quality camera, mic, screen as membrane speaker (Sony TV Type). Set-up is optimized for Video Conferencing but still a top monitor. Camera is fixed behind screen in the center and 1/3 down (Possibly as a separate and up-gradable module, bayonet insert and twist to lock with built in USB mating or short USB cable plugging straight to adjacent USB on monitor). Software algorithm in Teams is optimized to always locate speaker video feeds to be centered between human iris' location or nose bridge over the camera iris. That way video feeds always maintains eye contact between two speakers and multiple participants can be arranged in a circle around the cam position when not in dialogue.
Andrew Quee commented
Short of drilling a hole through your monitor or dangling a camera in the middle of your monitor this is not possible outside Star Trek. Great idea, but impractical.
My work around: Small monitor-mounted webcam moved to far left of screen. Minimise video to top left by clicking on anything else in Teams. You now have almost direct line of sight on camera by looking at Teams video.