
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 three points in space \\(A(0,2,3)\\), \\(B(-2,1,6)\\), and \\(C(1,-1,5)\\):
\\((1)\\) Find \\(\cos < \overrightarrow{AB}, \overrightarrow{AC} >\\);
\\((2)\\) Find the area of the parallelogram with sides \\(AB\\) and \\(AC\\).

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