I think you’ve got your instructions: roll down window -> pull.
That’s kind of a chintzy way of doing it, but what you’re -theoretically- doing is bending the window track and regulator (the raise/lower “guts” in the door) outward so that the glass fits more snugly against the weatherstripping (that is worn out and has collapsed.)
Just for giggles, you might check the coolant level in your car. Often times a wet spot on your passenger floor (that isn’t caused by frightened passengers) can be caused by a leaking heater core.