
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
Eight points are evenly spaced on a circle and connected in a specific pattern to form an 8-pointed star. Each tip of the star is marked by an angle, one of which is denoted as \(\beta\). Calculate the sum of the angle measurements of the eight tips of the star, in degrees.

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