
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 a triangular prism, the base triangle $ABC$ has sides $AB = 6$, $BC = 4$, and $AC = 5$. The height of the prism (perpendicular to the base triangle) is $5$. Point $M$ is the midpoint of the line segment joining the midpoints of $AB$ and $AC$ on the top face of the prism. Determine the volume of the pyramid with the base triangle $ABC$ and apex $M$.
A) $14.5$
B) $15.5$
C) $16.5$
D) $17.5$

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