
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 $\triangle ABC$ be a triangle in a plane, and let $D$ be a point outside the plane of $\triangle ABC$, forming a pyramid $DABC$. Each edge of pyramid $DABC$ has a length of either $13$ or $24$, but no face of $DABC$ is equilateral. What is the surface area of $DABC$?

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