Multiple Monitors Two Computers

So I have a dell laptop that I use for work, that has a dock that has 3 external monitors connected. I also have an HP Tower that I was hoping I could figure a way to use these monitors when not working, without having to disconnect/reconnect. The Dell laptop is a Latitude 5140, that actually has the little box that everything is connected to, that connects to the laptop via USB C. I would just like to be able to use these 3 monitors or at least two of them with my HP Tower. I was thinking a standard KVM would probably not work. Please let me know your suggestions.

 

They do make "multi monitor KVM" now days. That Dell "USB C" is likely a Thunderbolt port, which provides power to the laptop while adding connectivity. So even if you get a USB C expansion card for the desktop and trying plugging in the dock, the HP likely would not have all the drivers needed for the device.
So google "multi monitor KVM".