
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 $f(x)=\sin^{2}{\omega x}+\sqrt{3}\sin{\omega x}\sin(\omega x+\dfrac{\pi}{2})(\omega > 0)$, where the smallest positive period is $\pi$.

(I) Find the value of $\omega$;

(II) Find the range of the function $f(x)$ when $x\in[-\dfrac{\pi}{12},\dfrac{\pi}{2}]$.

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