How to organize video capture of an image of one PC by another?

Question

Video capture

I need to organize a video capture of the image of one computer by another. That is, I need to see online in some window on the second computer what is happening on the first one. At the same time, video recording is not important for me. A hardware solution is required (rdp, teamviewer and other solutions are not suitable). The final goal is for the first computer to have no idea that its video is being captured (that is, no system check could detect suspicious activity - which is why the software is not suitable). The device that will organize the capture must be able to "pretend" to be a monitor for the first computer.
The main candidate for the position of solving the problem is a video capture card (AVerMedia Live Gamer HD or similar). But no matter how much I searched, I did not find a detailed explanation of how the work with such cards is arranged - how does it look for the computer from which the capture is being made and can it be "disguised" as a monitor for it?

Answer 1

It is possible via IP KVM
www.dlink.ru/ru/products/10/584_i.html
Absolutely hard solution - it is placed in the cut of the cable.