[parasubvert]

What is reason, beyond sensing, sense-making, logic, verification of facts/premises, and response/conclusion?

Computers absolutely will be (and are today!) capable of reason - but as with humans it will be limited and imperfect - just in different ways than humans. Having worked in the semantic web space for example, some logical inferences are computationally way too expensive to bother with, and a human will often be better. Other cases are better. Research on building reasoning systems for medical diagnosis , prescription and contra-indication are getting very sophisticated for example.

I suspect what computers will long be bad at are imagination, curiosity, ambition, emotion, and intuition... All of which relate to your examples of weaving through the bureaucracy.