Hmmmm.... That is a nice summary of different elements. It's a topic of interest to me. I focus on the pattern recognition aspect as the foundation of intelligence, but to me, the easiest way to spot intelligence is by emotional characteristics. Their emotions are loud. I love asking "those people" I meet if they have had to apologize for overwhelming people. Their reaction tends to be cute. No one understands that.
If intelligence is a topic of interest to you, might I recommend my book on it... written sort of as a lark, but it would offer you a different view: "When Barbara Explained Genius". It's short and might be of interest. I suspect it would be novel.
Now I do intend to update it as it is missing two pieces. One is trivial, how to increase one's intelligence, but the other missing point is fascinating. I thought of it but could hesitated to put it in the book. May I bring your attention to it. It is brain language. I'll put below the notes I took on the article and its link. It's by an AI expert and it too talks about brain language, even if in a machine.
I just found a great quote from one of the original developers of AI - Geoffry Hinton.
https://www.newyorker.com/magazine/2023/11/20/geoffrey-hinton-profile-ai
But Hinton was doubtful of this approach. It seemed too rigid, and too focussed on the reasoning skills possessed by philosophers and linguists. In nature, he knew, many animals acted intelligently without access to concepts that could be expressed in words. They simply learned how to be smart through experience. Learning, not knowledge, was the engine of intelligence.
Sophisticated human thinking often seemed to happen through symbols and words. But Hinton and his collaborators, James L. McClelland and David Rumelhart, believed that much of the action happened on a sub-conceptual level.
...Note that in my Cognition book, I speak about "brain Language" I know about it because I spend so much time there.
Just a thought...