
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
Inside an acute angle, points $M$ and $N$ are given. Using a compass and a straightedge, construct points $K$ and $L$ on the sides of the angle such that the perimeter of quadrilateral $M K L N$ is minimized.

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