
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 point $M_0$ to the plane passing through the three points $M_1$, $M_2$, $M_3$.

$M_1(1, 5, -7)$

$M_2(-3, 6, 3)$

$M_3(-2, 7, 3)$

$M_0(1, -1, 2)$

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