
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
The distances from a certain point $M$ to the vertices $A$ and $B$ of an equilateral triangle $ABC$ are $MA = 2$ and $MB = 3$. What can be the distance $MC$ from point $M$ to the third vertex $C$ of the triangle?

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