
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
Three identical point charges start at the vertices of an equilateral triangle storing 18 Joules of total energy. How much more energy would be stored if one of these charges was moved one quarter of the way from one vertex towards the opposite side?

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