
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
Write the equation of the plane passing through the point \( M_{0}(2, 5, -3) \) and perpendicular to the vector \( \overline{M_{1} M_{2}} \), where the points \( M_{1} \) and \( M_{2} \) have coordinates \( (7, 8, -1) \) and \( (9, 7, 4) \).

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