Re: Strangely in the last week or so....
she reluctantly calls a second referendum to break the impasse, at which point the slim majority of the country that can perform basic maths
I'm not sure there'e time for a referendum. And, even if there was, what would the question be? and what makes you think the public would behave differently than in 2016? I suspect turnout might be lower but a lot of people would vote for it to happen, whatever it is. I see images of buses covered with ads for large turkey dinners with £350 per turkey per day if only they vote for Christmas.
No, this is a mess that parliament created and that parliament should sort out. That is what responsibility means and the basis for parliament's sovereignty.