
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 \(K\) and parallel to \(AC\) intersects side \(BC\) at point \(L\). Find the angle \(AML\).

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