
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 $f(x)=\sqrt{3}\sin (2018\pi -x)\sin \left(\frac{3\pi }{2}+x\right)-\cos^2x+1$. If for any $x\in \left[-\frac{\pi}{12},\frac{\pi}{2}\right]$, the inequality $\left| f(x)-m \right|\leqslant 1$ always holds, find the range of the real number $m$.

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