The architect did not need to go through all the steps I mentioned.
Let's suppose the architect wanted to build a slope with an unusual angle. Then the best way was surely a template.
I am not an expert on construction, but I gave some thought as to how the very precise 1 in 2 slope of the Lower Entrance Passage was executed.
It was not possible to measure the vertical drop because the passage is in the bedrock.
A template would have been required, the detail of which is outside the scope of this present discussion, suffice it to say that I think the surveyors probably made special templates for the masons for each of the passages.
The minor features that I spotted drew me to the 360 conclusion. In the case of the architect it was just a matter of adding subtle features in harmony with the main purpose of the design.
If there were say 10,000 working on the construction, then perhaps there were 100 designers. It wouldn't take long to design what I propose, or to make a template, compared to the time required to build the Ascending Passage. Most of the designers would soon be redundant, but with no shortage of other work to do.
Many acquire an interest in the Great Pyramid from Piazzi Smyth, The Orion Mystery etc. I started with Petrie's second edition of The Pyramids and Temples of Gizeh, and was merely looking to assist someone else.
It astonished me so much that I asked the same question as you. Why would anyone go to so much trouble?
For example 'Including the whole passage the error is under 1/4 inch in the sides, and 3/10 on the roof, in the whole length of 350 feet, partly built, partly cut in the rock.'
I mention this because I have claimed that the Ascending Passage was built accurate to a small fraction of a digit. It is very likely that the template corresponded to a precise plan, in view of the fact that workmanship is almost beyond belief - when I first read Petrie's book I wondered whether or not Petrie's measurements could really be true, knowing precious little beyond the fact that there are three big pyramids somewhere in Egypt, as often seen in pictures.
But it is not a matter of belief. It is a matter of evidence, and my hypothesis fits the evidence without fanciful theories.
The extraordinary precision of the Entrance Passage required a huge amount of time, skill and patience, most of which was unnecessary unless there was some purpose which required a near perfect execution of the architect's plan. It is reasonable to view the Ascending Passage in the same light, even if a high degree of precision was necessary in relation to the Granite Plugs.
In my hypothesis the extraordinary precision was necessary so that the mechanism of the pyramid functioned perfectly in ancient belief. In your picture of the pyramid you are left with a folly in which much of the effort was misplaced.
Mark