
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
A convex polyhedron \(\mathcal{P}\) has 26 vertices, 60 edges, and 36 faces. 24 faces are triangular and 12 are quadrilateral. A spatial diagonal is a line segment joining two vertices that do not belong to the same face. How many spatial diagonals does \(\mathcal{P}\) have?

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