
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
A liberal arts student shifts the graph of the function $f(x)=2\sin \left(2x-\frac{\pi }{3}\right)$ to the right by $m(m>0)$ units. The resulting graph is symmetric about the line $x=\frac{\pi }{6}$. Determine the minimum value of the real number $m$.

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