I disagree that step #1 is important.
Consider the "Air-foil", which led to flight. In one sense, its an approximation of the wings of birds and other animals.
But ultimately, the discovery that the "Air-foil" shape turns sideways blowing wind into an upward force now called "lift" is completely different from how most people understand bird wings.
Bird Wings flap, but Airplane Air Foils do not.
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Another example: Neural Networks are one of the best mathematical simulations of the human brain (as we understand it, as well as a few simplifications to make Artificial Neural Networks possible to run on modern GPUs / CPUs).
However, the big advances in "Game AI" the past few years are:
1. Monte Carlo Tree Search -- AlphaGo (although some of it is Neural Network training, the MCTS is the core of the algorithm)
2. Counterfactual Regret Minimization -- The Poker AI that out-bluffed humans
There are other methodologies which have proven very successful, despite little to no biological roots. IIRC, Bayesian Inference is a widely deployed machine learning technique (for some definition of Machine Learning at least), but has almost nothing to do with how a human brain works.
An interesting field of AI is "Genetic Algorithms", which have biological roots but not anything based on the biology of brains, to achieve machine learning. Overall, a "Genetic Algorithm" is really just a randomized search in a multidimensional problem, but the idea of it was inspired by Darwinian Evolution.