
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 $\triangle ABC$, $AB=2$, $AC=3$, $\cos A=\dfrac{5}{6}$. If $O$ is the circumcenter of $\triangle ABC$ (the center of the circumscribed circle of the triangle) and $\overrightarrow {AO}=m\overrightarrow {AB}+n\overrightarrow {AC}$, calculate the value of $n-2m$.

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