
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 that pyramid $ABCDE$ has a base $ABCD$ measuring $4$ cm on a side and an altitude $AE$ measuring $8$ cm, point $P$ lies on $BE$, point $Q$ lies on $DE$, and point $R$ lies on $CE$, three fourths of the way from $C$ to $E$. Calculate the area, in square centimeters, of $\triangle PQR$.

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