
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
Let $\triangle XYZ$ be a triangle, and let $W$ be a point such that $WXYZ$ forms a pyramid. Suppose that every edge of $WXYZ$ has a length of either $13$ or $30$, and no face of $WXYZ$ is equilateral. Calculate the total surface area of the pyramid $WXYZ$ if every face of the pyramid has sides of lengths $13$, $30$, and $30$.

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