
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 area of \\(\triangle ABC\\) is \\(2\\), and it satisfies \\(0 < \overrightarrow{AB} \cdot \overrightarrow{AC} \leqslant 4\\), let the angle between \\(\overrightarrow{AB}\\) and \\(\overrightarrow{AC}\\) be \\(\theta\\).
\\((1)\\) Find the range of \\(\theta\\);
\\((2)\\) Find the range of the function \\(f(\theta) = 2\sin^2\left( \frac{\pi}{4} + \theta \right) - \sqrt{3}\cos 2\theta\\).

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