
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 angle between the line of intersection of the planes \(2x - y - 3z + 5 = 0\) and \(x + y - 2 = 0\) and the plane passing through the points \(M(-2, 0, 3)\), \(N(0, 2, 2)\), and \(K(3, -3, 1)\).

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