How to organize a thin client as rdp/vnc in a home network?

Question

Debian

Good afternoon.
I have created a primitive Wi-Fi network at home through a tp-link home router.

2
laptops are marked with monitors. My laptop with debian, stands on the table, like a stationary computer.
I thought that I wanted to, nevertheless, use the laptop as a laptop, that is, wear it even on the sofa and back. But 2 monitors are plugged into the laptop, a keyboard and a bunch of all sorts of cables - every time it's annoying to turn it off, because you have to connect everything back later. I thought, is it possible to stir it up like this:

There is a bunch of old iron that no one needs, which, as a client, will do just fine. Connect the laptop to the router via Wi-Fi, and the client to the router with a cable. When you need to transfer the laptop to where you need it, and sit at the table behind the client.
I also want it not to be a client with its own desktop and all the settings, as in a full-fledged thin client, but like a second monitor for a laptop, but over the network, i.e. both on the laptop and on the client, I want the same picture.
You can also use vnc, of course, but you can’t watch movies through it, you can’t drive games normally.
Is it possible to somehow organize such a perversion? Or do I want too much?

Answer 1

there is an option to connect a monitor via a network, a special server is launched on a weak computer and when Xs connect to it, you can share the screen