
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 an ellipse $\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1 (a > b > 0)$ with an eccentricity of $\dfrac{1}{3}$, its foci are respectively $A$, $B$, and $C$ is any point on the ellipse other than the endpoints of the major axis. Then, in $\triangle ABC$, the value of $\dfrac{\sin A + \sin B}{\sin C}$ equals \_\_\_\_\_.

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