I’m not sure whether tent on bias is better. It has that weird bend on the ridges.
It does result in all edges being on the ground, but you could accomplish that with tent laid out normally with an octagon shape as mentioned previously. Or, lay out the side panels with the middle of each panel 8 inches longer:

With bias layout the sides have this flap against the ground as mentioned previously. I tried a shorter pole as suggested but it made no difference. If you look at the photo at the beginning of the thread of one side panel stretched out, you can see the two edges that go on the bias have large wrinkles which is what makes the edge flat.
Maybe this is a good thing. Occasionally it gets very windy and stuff blows in under the edge of the tent. If I put a grosgrain loop with nylon line in the center, and use that to pull out the tent and put a rock on top, I think that will prevent stuff blowing under.
After using a shorter pole, it occurs to me that the edge stretches out. It was designed to be 114 inches long but it stretched to 120 inches. But the ridge length is about the same as designed. If I was doing a rectangular pyramid the center pole would have to be about 3 inches shorter to make up for this. So, I should add 3 inches to the actual pole length and use that to calculate dimensions of panels of fabric.
For the half pyramid with beak it doesn’t matter that much because of the geometry – you can just move in the two corners next to the beak – complicated to explain with words, easier to figure out when you’re doing it. But next time I’ll add the 3 inches.
When you set up the half pyramid with beak, first stake the two corners that are on the opposite side from the beak, then put in the pole, then stake out the beak. This is like a three legged stool – the site doesn’t have to be flat. And the bottom of the pole doesn’t have to be on the same plane as those three stakes – easier to understand if you’re actually doing it.
Then, stake the other two corners. These don’t have to be on the same plane either. Tighten all the tent stake loops. Put in the center stake at the rear. The tent will pitch tighter if all the stakes and pole are on the same plane.
After using a square mid, and this half mid + beak, the latter requires less area of ground, and is more tolerant of a non flat site. And it saves 3.5 ounces.