
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 three points \( M_{1}, M_{2}, M_{3} \).

\[
\begin{aligned}
& M_{1}(-3, -1, 1) \\
& M_{2}(-9, 1, -2) \\
& M_{3}(3, -5, 4) \\
& M_{0}(-7, 0, -1)
\end{aligned}
\]

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