
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
Translating the given problem from Chinese to English, we have:

"Determine the smallest positive value of $m$ such that when the graph of the function $f(x) = \frac{3}{2}\cos(2x) + \frac{\sqrt{3}}{2}\sin(2x)$ is shifted $m$ units to the left, the resulting graph is symmetric about the $y$-axis."

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