The 'DIY Perks' channel on YouTube has a nice solution to maintain eye contact: https://youtu.be/2AecAXinars
You can't mount a webcam in the middle of your laptop display, as even a small camera and thin cable would get in the way of looking at the screen.
But using a two-way mirror, you can be looking at both the screen and the webcam at the same time, without the webcam being visible to you.