I'll admit to being as confused about this as the Labour & Conservative parties ... but isn't the only realistic course forward to have a second referendum with a simple choice between a hard Brexit & no Brexit?
If only it were that simple.
The way I see it is like this: the original referendum was a simple choice between leaving the EU or remaining inside the EU, but it was not made clear enough what leaving actually would entail (i.e. that a multiplicity of options would be on the table). And, as such, after winning the referendum, the leave vote fragmented, making it virtually impossible for any one leave option to command a majority (even a majority of leave voters, let alone an absolute majority of UK voters). As such, any further referendum would always be (massively) biased in favour of a remain vote, making a second vote fundamentally unfair.
I am not totally against a second referendum but I think it should, as a starting point, respect the original majority who voted to leave the EU. As such, a fairer second referendum question would be 'Do you support the Withdrawal Agreement, yes or no?' A Yes vote would compel MPs to vote it through, a No vote would compel MPs to approve a No Deal Brexit.
edit: Note that Labour (whose position on Brexit has been as clear as mud) will now only allow
any deal to pass if it is put to a public vote first - but Labour must know that there will most likely not be anything near a majority for any exit deal, and thus their position is, in effect, to Remain but without having to actually come out and say it.
You already voted on the matter twice or am I wrong ?
No, the UK public have only voted once on the matter so far.