
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 $f(x)=\sin (ωx+φ)$ where $ω > 0$ and $|φ| < \dfrac{\pi}{2}$, its graph passes through the point $(0,\dfrac{1}{2})$, and if $f(x)\leqslant f\left( \dfrac{\pi}{12} \right)$ holds true for all $x\in R$, find the minimum value of $ω$.

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