I will make an observation here since I have studied Artificial Intelligence and done some programming. Of course there is a "dim reflection of thought and mind" in computer operation, since the programming is the result of human logic and thought. The hardware operates because of the unchanging laws of physics and the natural world and the engineering of its construction (likewise the result of human intellect).
If there were a non-biological computer out there that evolved on its own over billions of years, and its behavior exhibited a "dim reflection of thought and mind" you could then argue by analogy that the human brain may be similar. Instead, it is completely the other way around. I think you have actually come up with an argument for intelligent design, a pretty good one. The computer's limited exhibition of "intelligence" reflects human intelligence, because the human designed and constructed it. By analogy: The human mind exhibits intelligence because it reflects the intelligence of its Creator. After all man is made "in the image and likeness" of his Creator . . .