
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
Complex numbers $a,$ $b,$ $c$ form an isosceles right triangle with the length of equal sides being 12 in the complex plane. If $|a + b + c| = 24,$ find $|ab + ac + bc|$.

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