
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 $f\left(x\right)=\cos \left(2x-φ\right)- \sqrt{3}\sin \left(2x-φ\right),\left(\left|φ\right| < \dfrac{π}{2}\right)$ is shifted to the right by $\dfrac{π}{12}$ units and is symmetric about the $y$-axis. Find the minimum value of $f\left(x\right)$ in the interval $\left[- \dfrac{π}{2},0\right]$.

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