
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
Translate the function $y=\sin x$ horizontally to the left by $ \dfrac{π}{3} $ units, then change the x-coordinate of each point on the translated graph to $ \dfrac{1}{\omega} (\omega > 0) $ times its original value (the y-coordinate remains unchanged), obtaining the graph of the function $y=f(x)$. If the function $y=f(x)$ has exactly one zero point in the interval $\left(0, \dfrac{π}{2}\right)$, then the range of $\omega$ is ______.

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