
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 satisfies \\(2b\sin (C+ \dfrac {π}{6})=a+c\\).
\\((I)\\) Find the size of angle \\(B\\);
\\((II)\\) If point \\(M\\) is the midpoint of \\(BC\\), and \\(AM=AC\\), find \\(\sin ∠BAC\\).

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