
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
Point \( P \) is placed inside triangle \( ABC \) such that angles \( PAB, PBC, \) and \( PCA \) are congruent. The sides of the triangle are \( AB = 15, BC = 18, \) and \( CA = 21. \) Find \( \tan \angle PAB. \)

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