Hi NightCabbage - here's a bit of an illustration on how that area can be repaired by building a surface that touches the others with better accuracy.
To start with, I duplicated this edge at the bottom, by selecting it and then doing Copy and then Paste:
Now select the inaccurate face here and just delete it:
Now to make a better surface there, select these 4 curves - note that 3 of them are edges of the other surfaces:
And then run Construct > Network to build a surface from them. The generated surface will be within a good tolerance of those existing edges, so you can then select those surfaces and use Edit > Join to glue them together and get a proper single joined edge in that spot.
Once you have that set up, you can then select that edge:
And then Chamfer will work on it since it is a good single joined edge instead of it being 2 unattached edges with a gap between them:
That's the kind of sequence that can be used to repair something like this that has some pieces that are unjoinable because they are too far apart.
- Michael
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