
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
Given a quadrilateral prism \(P-ABCD\) with the base \(ABCD\) being a rhombus with an angle of \(60^{\circ}\). Each side face forms a \(60^{\circ}\) angle with the base. A point \(M\) inside the prism is such that the distance from \(M\) to the base and each side face is 1. Find the volume of the prism.

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