No No No No No
What you are dong is completely wrong.
You CANNOT have "two live switchings from separate switches"
and you CANNOT have neutral from a different "supply" that's called a borrowed neutral, has not been permitted for a LONG time and will trip any RCD you have in the house.
You are clearly out of your depth, so I suggest you employ an electrician who know what he is doing.
Clearly the pump is already wired doing something already, so you need someone who can design the additions / alterations needed to incorporate the stove, and then implement those modifications.
The diagram you linked to is the simplest, most basic possibility given to help you and I thought you were just implementing that. But clearly if other things power the pump as well, you cannot just simply add that to what you already have without some proper thought and design.
And in any event, any additions would use the SAME live as what's in use already.
Another example of giving us half the question and half the information needed.