
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 operation defined as \\( \begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc \\), and the function \\( y = f(x) = \begin{vmatrix} \sin x & \sqrt{3} \\ \cos x & 1 \end{vmatrix} \\), after shifting the function \\( y = f(x) \\) left by \\( m (m > 0) \\) units, the resulting graph is symmetric about the y-axis. Find the minimum value of \\( m \\).

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