
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
A line \\(l\\) passing through the origin intersects the curve \\(C: \frac{x^2}{3} + y^2 = 1\\). If the length of the segment cut by the curve \\(C\\) on the line \\(l\\) is no greater than \\(\sqrt{6}\\), then the range of the slope angle \\(\alpha\\) of the line \\(l\\) is

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