Its not finished, but I did finally get the door set in properly today. It doesn't sound like That Big A Deal, but it drove me crazy to the point where I just stopped about it for several weeks (and did other useful stuff).
But I went back at it 2 days ago. It not elegant. The half-lap joints that fit so well on the basement floor didn't fit well out in the garden. I'm guessing that there were fitting options that options that "from basement floor to reality" were not right. Putting posts into holes in the ground is not quite like the frames sitting on a nice level basement floor.
But with enough support (uprights, cross, and sideways), I got the door to close smoothly and the lath to connect. I bet any professional would cringe at the work I've done. But as long as it latches closed, it doesn't really matter. All it has to do is stay solid.
And then its worth finishing the chicken wire. All I have left of that is wrapping some corners where the 4' rolls didn't quite reach. That involves some cutting and pacthing using leftovers, but I have enough of those.
It will be SO great to have this completed. Pictures when it is really completely done. But the "damn door" was 90% of the unfinished work, so I am about there.