
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In triangle $XYZ$, $M$ is the midpoint of side $XY$, and $N$ is the centroid which divides median $ZM$ in the ratio 2:1. If the section $MN$ is 4 inches, then the length of $NZ$, in inches, is:
A) 4
B) 8
C) 12
D) 16
E) 20

Present the answer in LaTex format: \boxed{Your answer}
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