
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\\), the sides opposite angles \\(A\\), \\(B\\), and \\(C\\) are \\(a\\), \\(b\\), and \\(c\\) respectively, and \\(\dfrac{2b-c}{a} = \dfrac{\cos C}{\cos A}\\).

\\((1)\\) Find the size of angle \\(A\\);

\\((2)\\) Find the range of the function \\(y= \sqrt{3}\sin B+\sin \left(C- \dfrac{π}{6}\right) \\).

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