
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 base of the pyramid is an isosceles trapezoid with a lateral side equal to \( a \) and an acute angle \( \alpha \). All lateral faces form the same angle \( \beta \) with the base of the pyramid. Find the total surface area of the pyramid.

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