
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
A circle $\omega$ is circumscribed around triangle $ABC$. Tangents to the circle at points $A$ and $B$ intersect at point $K$. Point $M$ is the midpoint of side $AC$. A line passing through point $K$ parallel to $AC$ intersects side $BC$ at point $L$. Find the angle $AML$.

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