And why exactly May is putting her deal for vote for the third time?

[oreoxoreo]

When it was voted down two times already, last time jus two days ago!
Is it democracy??

Neither Brexiteers nor remainers want it, but sheep MPs might be eventually persuaded!

I am furious!

That's true. So if the longer extension is needed but refused and they can't vote yet again on the WA, then the options are revoke or crash out. I wouldn't bet against the latter.

{If it's a technical extension as the WA is passed, they will agree it as it would be churlish not to. }
The EU need to see the WA signed up to as soon as possible, along with industry in the UK and the EU as any delay beyond 29 March gets seriously expensive, although this isn't the overriding factor.
there are (I believe) 2 versions of extension. One being a technical, which is that the WA is signed on 29th and the 'extension' is to take into account another document WIAB? which is largely a formality.
Thus the UK will have officially started a transition period, so is 'on the way out'.
A much longer extension, which would be far more unpopular would be 21 months or whatever, thus leaving the whole world guessing what will happen while the UK government tries to think of a plan and implement it, through elections/referendums/votes/ tiddlywink contests.
As usual Mrs May and the cabinet are deliberately being as unclear as possible, to make people confused. It is bloody complicated and they are playing on this deliberately. It is also an attempt to cover up and blame others for their lack of real planning.

Every single Brexit outcome is like making MPs eat a turd. Some are slimier and smellier than others, but they're all turds so MPs are trying not to do it.
TM is trying to persuade them her deal is the last worst option, i.e. the tastiest turd on the block.
I'd say we need a second referendum or revocation of A50 but those options also have unpalatable dimensions!

{I don't agree with the optimism re no deal, quite frankly. It could still technically happen, regardless of the vote result.}
Crashing out is the International legal position unless the PM decides whether to revoke or sign the WA.
The HoC puts pressure on the PM but does not override international law.

Exactly. Hence my pessimism!

Stealth I'm not sure why they are posting that, my understanding is the eu does not wish to be held responsible for a no deal brexit, or to be seen as being highly unreasonable, and that the fear of being held responsible for a no deal brexit is way more significant to them than the desire to not let this uncertainty go on longer.

However, of course as said, it's not a given that a lengthy delay may not be granted, and we would face revoke, but this is highly unlikely. As said, my understanding is they desire to be seen as reasonable to the global community and the fear of causing a no deal scenario is not something they wish under any circumstances.