
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 fixed points M(0, 2), N(-2, 0), and the line $l: kx - y - 2k + 2 = 0$ (where $k$ is a constant). If the distances from points M and N to the line $l$ are equal, then the value of the real number $k$ is \_\_\_\_\_\_; for any point P on line $l$, if $\angle MPN$ is always acute, then the range of values for the real number $k$ is \_\_\_\_\_\_.

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