
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 regular hexagon has a side length of 12 cm. A rhombus is formed by joining the midpoints of alternating sides of the hexagon. Calculate the area of this rhombus in square centimeters. Express your answer in simplest radical form.

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