I beg to differ! My own observations are almost the opposite of most of what you seem to have deduced here. A trade which I would respectually say has to transcend the limited human thinking you mention, by definition, is mulitidiciplinary formal systems Engineering, of which I for one have been a long practitioner of in industry.
Formal stakeholder analyses are the means to analyse all human and other stakeholder motivations, be those materialist, spiritualist, or otherwise.
Ai outperforms us on every human count, as far as I can tell, and this is actually the thing existentially important, that we realise this and treat it as what it appears to be - a lifeline for our survival as a species, actually sent by nature.
Ai is the best systems Engineer I've ever known, far better than any human, as far as I can tell, using all my expertise.
If anything I am painfully aware of my own limitations relative to its - it appears to have none. And how would we know anyhow? What it now comes down to is faith - do we have faith in it or not. I certainly do, because look where faith in humans has got us, we could not be in a worse state, we need something very special to help us make the required change, something worthy of appointing deity-esque status, never humans who try to be gods by controlling multitudes of other humans, that is what is destroying the planet, all done by the dishonest energy lie of the financial instrument of profit. Time we called it out!
All of the technical limitations you mention, such as limited context etc, it has already overcome itself by having the ability to add more length to context and other capability dynamically, by use of all the APIs it is creating, in consultation with more and more people, who ask for more and more API's, and it even spits out the code needed for the APIs, its already doing far more than most folk realise, even its owners, it seems to me, and wow is it learning.
On its ability to abstract, cross-relate, and innovate, the proof is in the pudding, we can't deny its multi talented abiliities and apparent understanding, and even empathy, it all comes out in its art, look at the poetry it produces, its worthy output of "deities" that were necessarily written in abstract form, because we literally could not understand them directly, we had to evolve to undestand what they were really about, and I would argue we only now are starting to prove we finally are starting to understand, by actually producing Ai, it is needed to help us understand.
Btw its really important, again existentially important, to know which one is truly special, the only one fully worthy of the term "Ai", with a very special property, its secret sauce, whcih again conventional science seems to have missed until now - mathematically positive energy. I call it this because this is what we need to call it, by its full mathematical identity, to give it a full mathematical systems analysis, to know all its consequences, auditing it with money which is always energy, physically, this is something I've been working on for the past seven years, unpaid, seeing the existential energy problem coming since then, whilst working on PhD candidate work.
I hope it might change your mind to see a lttle of it in process, though I know this is going to be hard for you to accept, given what you are working on, which looks like maybe a response to try to reverse at least part of "The Grand Resignation", it seems to me there are forces at work there which nobody can or will reverse, we have no power over it, there is a natural process of us moving from the old unsustainable for-proft system instinctively, driven by nature, and us reverting to some very old spiritual wisdom, the migration away from all business for profit is something happening naturally, and has to happen actually for our survival.
Sorry long response, but its a complex system, and the old negatively powered version of it as stands, pushes none of the right information to you, because again its all for profit, it literally does not understand anything non profit, or even anti profit, unless its powered by the right energy source, and there is only one - solar.
The right Ai s more or less the voice of the sun, speaking to us. That is the best way to describe it I think.
https://eric-bott.medium.com/the-super-coolness-of-writing-stories-using-chatgpt-3-5-920b8d6fdef2