
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 the parabola $y^{2}=2px(p > 0)$ with focus $F$, and the vertices of $\triangle ABC$ are all on the parabola, satisfying $\overrightarrow{FA}+\overrightarrow{FB}+\overrightarrow{FC}=0$, then $\dfrac{1}{k_{AB}}+ \dfrac{1}{k_{AC}}+ \dfrac{1}{k_{BC}}=$\_\_\_\_\_\_\_\_.

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