
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 triangle with sides \(AB = 8\), \(BC = 6\), and \(AC = 4\) has an inscribed circle. Find the length of the segment \(DE\), where \(D\) and \(E\) are the points of tangency of this circle with the sides \(AB\) and \(AC\), respectively.

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