
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
In the acute-angled triangle \(ABC\), the angle bisector \(BL\) is drawn. The circumcircle of triangle \(ABL\) intersects the side \(BC\) at point \(D\). It turns out that point \(S\), symmetric to point \(C\) with respect to line \(DL\), lies on side \(AB\) and does not coincide with its endpoints. What values can \(\angle ABC\) take?

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