
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 three points $A(0, 2, \frac{19}{8})$, $B(1, -1, \frac{5}{8})$, $C(-2, 1, \frac{5}{8})$ on the plane $\alpha$, and let the normal vector of plane $\alpha$ be $\overrightarrow{a}=(x, y, z)$, find the ratio $x:y:z$.

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