
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 that $A(x_{A}, y_{A})$ is any point on the unit circle (with center at the origin $O$), and the ray $OA$ rotates counterclockwise around point $O$ by $\dfrac{\pi}{3}$ to $OB$ intersecting the unit circle at point $B(x_{B}, y_{B})$, calculate the maximum value of $\sqrt{3}y_{A} + x_{B}$.

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