
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
The radius of the circumscribed sphere around a regular triangular pyramid is equal to the slant height of the pyramid. Find the angle between the slant height and the base plane of the pyramid.

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