
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

In a right square pyramid \(ABCDP\), the angle between the lateral edge \(PA\) and the base plane \(ABCD\) is equal to the angle between the edge \(PA\) and the plane \(PBC\). Find this angle.

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