
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
Given a triangle ABC, its three sides are consecutive natural numbers. If the smallest side is 3, find the sine value of the smallest angle. If the largest angle is twice the smallest angle, find the length of the largest side.

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