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I'd leave it if i were you.
You're losing nothing here other than potentially any friendship between you and your neighbour.
If you build a dormer in the future you can join onto theirs directly and both of you will enjoy the benefit of that.
Provided their work is done to a high standard (the step flashing suggests that their lead man is at least competent) you have lost nothing, and they have taken nothing from you. You will gain nothing from pursuing it.
Any gap between is a stupid way to construct a dormer.
(edit: the drawings show the neighbour building up to the centre line of the party wall, which is generally assumed to be the centre line of the chimney stack; the 300mm is the distance between your edge of the stack and the centre line of the stack, they appear to have built as per the drawings)
I would consider very seriously if this is a road you want to go down. -
What outcome do you want?
The current dormer wall to be knocked down and rebuilt?
Cash?
An inspection of the work on your side and a guarantee that if it fails you won't be liable for putting it right?
An apology?What you want guides what approach you need to take.
Realistically though they could have got permission to build it to the party wall, as they have, so it's unlikely that anything is going to change about that.
Work on your side without permission is obviously a different matter but what do you want to resolve that beyond making good?
Thank you all for your scrutiny. As @Cupcakes has pointed out to me privately, the drawings are sloppy, but under scrutiny; I don't think they are ambiguous on this issue.
I think I will broach the conversation suggesting contractor error. We do have a party wall surveyor appointed prior who might be able to help too. So I'll contact him.
@6pt Yeah, I've contacted Lewisham to ask about enforcement procedure. Because the website says they just won't for permitted development issues. Seems pointless to get a certificate from them.