
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 $f\left( x \right)=\sqrt{3}{cos}^{2}\omega x$ $+sin$ $\omega xcos$ $\omega x-\frac{\sqrt{3}}{2}$ $(\omega > 0)$ with the smallest positive period of $\pi$.

(I) Find $\omega$
(II) Find the interval(s) where the function $f\left( x \right)$ is monotonically decreasing.

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