
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]


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Three identical point charges are placed at the vertices of an equilateral triangle, and this arrangement stores 18 Joules of energy. If two of these charges are moved such that one charge is placed at the midpoint of one side, and another at one-third distance from a vertex on the opposite side, how much total energy, in Joules, would be stored in this new configuration?

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