Group transform is out of order. It does not transform the group but the elements. This leads to the suspicion that position and rotation are not transformation chains on object trees but attributes. That would be the wrong architecture.
I am very sorry, but please explain. Why is this a nice looking Svelte / Three / CSG app, but the basics are wrong?
I also made this experience. As long as the public level of knowledge is high, LLMs are massively helpful. Otherwise not so much and still hallucinating. It does not matter if you think highly of this public knowledge. QFT, QED and Gravity are fine, AD emulation on SAMBA, or Atari Basic not so much.
If I would program Atari Basic, after finishing my Atari Emulator on my C64, I would learn the environment and test my assumptions. Single shot LLMs questions won't do it. A strong agent loop could probably.
I believe that LLMs are yanking the needle to 80%. This level is easy achievable for professionals of the trade and this level is beyond the ability of beginners. LLMs are really powerful tools here. But if you are trying for 90% LLMs are always trying to keep you down.
And if you are trying for 100%, new, fringe or exotic LLMs are a disaster because they do not learn and do not understand, even while being inside the token window.
We learn that knowledge, (power) and language proficiency are an indicator for crystalline but not fluid intelligence
I think you have invested with agreeable results, but you missed fundamentals. Adjust course to "architecture first" and I expect a great product.