Why do you have to "Justify" another referendum? the previous one has been outdated by events, and the only reason another one is resisted is the fear of leave voters they will lose.
If the do, or if they win, provided fiddling is excluded this time democracy will have been seen to be done.
Why are you against democracy? why the lack of confidence? it should be a walk over for you if your argument is sound
The truth is you know the game is up, don't you?
A second referendum tramples all over democracy. Just because you didn't like the result doesn't mean anything. Unless of course you don't believe in democracy.
It really is as simple as that.