Since I just want to use my computer, I would hate to download 200GB. Can I download this specific game on the laptop and then drag it to the computer or do I have disadvantages?
If you have Steam on the laptop, you can save the game files there - go to the menu - and restore the backup on the other PC.
You can copy the data via USB and then read it in on the PC with the battle.net Launcher (search for installation)
The downloads a maximum of a small update!
So far, it has worked well for me.
Oh so… CoD… Didn't pay attention to whether it's on Steam