Hi all! Looking to see if anyone had managed to automate a switch similar to this on my boiler

I live in rented accommodation with no other way to switch on the radiators than this singular knob ( no thermostat etc). As it’s rented I can’t expose the wiring or take apart anything

All I would want the mechanism to do is to be able to switch between having just the hot water on and the hot water and radiators on

As the dial only has to rotate roughly 45 degrees I was even thinking whether an ordinary push switch bot may do it?

Really appreciate any thoughts - I’m not overly electronics inclined so if you’re able to go into simple details it would all be incredibly useful Thanks!