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I share your intuition. Turing already conjectured how much computing power an AGI needs and he said something little. I think the hardest part was getting to computers and AGI is just making a program that is a bit more dynamic.
I can recommend all of Marvin Minskies work. The Society Of Mind is very accessible and has an online version. In short, the mind is made of smaller sub-pieces. The important aspects are the orchestration and the architecture of these resources. And Minsky also has some stuff on how you put that into programs.
The most concrete stuff I know of:
EM-ONE: An Architecture for Reflective Commonsense Thinking Push Singh
is very concrete with code implementation. Implementing some of the layers of critics that Minsky described in "The Emotion Machine" that are a hypothesis of how common sense could be built.
Read by Aaron Sloman and Gerald Sussman isn't this super cool?
It is useful to first think of the concepts before programming something. We might be thinking of slightly different things with the word algorithm. It sounds very low level to me. While the important things are the architecture of a program, not the bricks it is made out of.