
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
The function $f(x)=\sin(2x+\frac{π}{6})$ is shifted to the right by $m\left(m \gt 0\right)$ units, and the resulting function $g\left(x\right)$ is an even function. Determine the minimum value of $m$.

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