
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 the function $y=A\sin(\omega x + \phi)$ $(A > 0, \omega > 0, |\phi| < \frac{\pi}{2})$, its smallest positive period is $\frac{2\pi}{3}$, and its minimum value is $-2$. The graph passes through the point $\left(\frac{5\pi}{9}, 0\right)$. Find the analytic expression of the function.

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