
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 \( \triangle ABC \), \( AB = AC = 26 \) and \( BC = 24 \). Points \( D, E, \) and \( F \) are on sides \( \overline{AB}, \overline{BC}, \) and \( \overline{AC}, \) respectively, such that \( \overline{DE} \) and \( \overline{EF} \) are parallel to \( \overline{AC} \) and \( \overline{AB}, \) respectively. What is the perimeter of parallelogram \( ADEF \)?

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