
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 rectangular parallelepiped, let dimensions be \( AB = 4 \), \( BC = 2 \), and \( CG = 3 \). Point \( M \) is the midpoint of edge \( \overline{FG} \), and \( E \) is a point on edge \( \overline{AB} \) such that \( AE = 1 \). Find the volume of the pyramid with base \( BCEF \) and apex \( M \).

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