
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

Find the distance from the point $M_{0}$ to the plane passing through the three points $M_{1}, M_{2}, M_{3}$.

$M_{1}(-4, 2, 6)$

$M_{2}(2, -3, 0)$

$M_{3}(-10, 5, 8)$

$M_{0}(-12, 1, 8)$

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