
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 \\(\triangle ABC\\), the sides opposite to angles \\(A\\), \\(B\\), and \\(C\\) are \\(a\\), \\(b\\), and \\(c\\) respectively, and it is given that \\( \dfrac {\sin A}{a} = \dfrac { \sqrt {3}\cos C}{c}\\).
\\((1)\\) Find the measure of angle \\(C\\);
\\((2)\\) If \\(a+b=6\\) and \\( \overrightarrow{CA} \cdot \overrightarrow{CB}=4\\), find the value of \\(c\\).

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