I was just looking up the difference between a referendum and a plebiscite. According to the internet, a referendum is a yes or no decision to be voted on by all citizens legally empowered to vote. The result is binding. A plebiscite is a yes or no decision to be voted on by all citizens legally empowered to vote. The result is not binding.
I was under the impression that the Brexit vote two years ago was non-binding, although the Government treated it as binding and this began the laborious unhappy process that has led us to the present situation.

. . .
Okay, now I've looked it up in Wikipedia, which has an excellent article on just the matters I'm concerned with. It's a bit more complicated than what I wrote above.

Could the government put together a multiple choice referendum which would put to the electorate the primary choices they have before them. That vote would be decidedly final and take it out of the hands of the politicians who seem to be unpopular no matter which direction the country is to go. If the outcomes can be put in simple understandable terms, why not have the public in a situation where there is no one to blame but themselves. After all a referendum is what got us here.

Then vote for the politicians the electorate thinks can best execute the referendum choice. As usual.