
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 $f(x)=2\sin x\cos x+2\sqrt{3}\cos^{2}x-\sqrt{3}$, find the smallest positive period of the function $f(x)$. After shifting the graph of $f(x)$ to the left by $\phi(\frac{\pi}{2}<\phi<\pi)$ units, the resulting function is an even function. Find the value of $\phi$.

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