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

\( M_{1}(1, 3, 0) \)

\( M_{2}(4, -1, 2) \)

\( M_{3}(3, 0, 1) \)

\( M_{0}(4, 3, 0) \)

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