Yes, in fact such a machine already exists. It’s called an air conditioner. An air conditioner is just a heat pump that pumps heat out of a building.

At least in my experience, ads are rarely that obtrusive. They’re usually either shunted off into a sidebar or, in the case of a video site, short and/or skippable. I have run across more intrusive ads in the past, but they were few and far between. I have an adblocker now, but I have more than a few sites whitelisted.