
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
Given points $M(0,2)$ and $N(-2,0)$, there exists a point $P$ on the line $l: kx - y - 2k + 2 = 0$ (where $k$ is a constant) such that $\angle MPN \geqslant \frac{\pi}{2}$. Determine the range of values for the real number $k$.

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