
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 that the function $f(x) = 2\sin\left(2x + \frac{\pi}{6}\right)$ has a minimum positive period of $\pi$, if the graph of function $f(x)$ is shifted right by $m (m > 0)$ units to obtain the graph of function $y = g(x)$, and $y = g(x)$ is an even function, find the minimum value of $m$.

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