
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
If the function $f(x) = A\sin(\omega x + \varphi)$ ($A>0$, $\omega>0$, $|\varphi| < \frac{\pi}{2}$) is centrally symmetric about the origin, and the first extremum point on the right side of the y-axis is at $x = \frac{\pi}{3}$, then the minimum positive period of the function $f(x)$ is ______.

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