
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
Find the volume of an oblique triangular prism, the base of which is an equilateral triangle with side length \(a\), if the lateral edge of the prism equals the side of the base and is inclined to the base plane at an angle of \(60^{\circ}\).

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