
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 $f(x)= \sqrt{3}\sin (ωx+φ) \left(ω > 0 ,\left|φ\right| < \dfrac{π}{2} \right)$, it is known that the graph of the function is symmetrical about the point $M(2,0)$, and the distance between adjacent highest and lowest points on the graph of $f(x)$ is $4$. By shifting the graph of $f(x)$ to the right by $\dfrac{1}{3}$ unit in length, we obtain the graph of the function $g(x)$. Express $g\left( x \right)=$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_

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