
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
Square pyramid ABCDE has a square base ABCD with each side measuring 4 cm, and altitude AE is perpendicular to the base and measures 8 cm. Point P is located one fourth of the way from B to E along edge BE, point Q is one fourth of the way from D to E along edge DE, and point R is one fourth of the way from C to E along edge CE. Calculate the area of triangle PQR in square centimeters.

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