
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
Given an equilateral triangle $ABC$ with side length $2\sqrt{3}$ and a point $M$ on the plane satisfying $\overrightarrow{CM} = \frac{1}{6}\overrightarrow{CB} + \frac{2}{3}\overrightarrow{CA}$, find the value of $\overrightarrow{MA} \cdot \overrightarrow{MB}$.

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