
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 $f\left(x\right)=\sin \left(3x+\dfrac{\pi }{6}\right)$s graph to the right by $m\left(m \gt 0\right)$ units, then stretch the horizontal coordinates of each point on the graph by $6$ times (vertical coordinates remain unchanged), resulting in the graph of function $g\left(x\right)$. If $g\left(x\right)$ is an odd function, then find the minimum value of $m$.

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