
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
In acute \\(\triangle ABC\\), \\(\dfrac{b^2 - a^2 - c^2}{ac} = \dfrac{\cos(A + C)}{\sin A \cos A}\\)  
\\((1)\\) Find angle \\(A\\);  
\\((2)\\) If \\(a = \sqrt{2}\\), find the range of values for \\(bc\\).

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