I have similar setup, only instead of using my PC I connected rpi5 which is basically minipc solution mentioned elsewhere

Basically this. I have older model with external valve like this https://www.frieda-kaffee.de/shop/bialetti-brika-elite.html but it looks like that current version has the valve integrated inside.

I use filtered water, room temperature, and also put a small spoon on the valve to make bigger pressure.