
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 $f\left(x\right)=\sin \left(2x+\frac{π}{3}\right)$ and its graph symmetric to the graph of $g\left(x\right)$ about the line $x=\frac{π}{6}$. When the graph of $g\left(x\right)$ is shifted left by $\phi (\phi >0)$ units, it overlaps with the graph of $f\left(x\right)$. Determine the minimum value of $\phi$.

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