Having taken a close up look at that front edge of the neck pocket I'd be really concerned about the side veneer and the roughness of the top edge where the fretboard/Neck will meet it. It might pay to draw Adam's (PBG Dude) attention to those spots.[/QUOTE]

The ground underneath the nut is pretty rough and uneven, but I daresay it can be filed down:
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But it's this gap—tight at the top, then a few millimeters wide at the neck pickup end—that I'm not sure how to fix:

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