There seems to be an error on slide 37 (lecture 5.pdf).
The inputs od Mux16 that routes the instruction's MSB are in reversed order compared to a quote from the book:
"This 16-bit value represents either an A-instruction (when the leftmost bit is 0) or a C-instruction (when the leftmost bit is 1)."
The screenshot from the lecture shows that A-instruction is when c=1, and C-instruction is when c=0.