
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 circle is inscribed in triangle \(ABC\) and is tangent to the sides \(AB\), \(BC\), and \(AC\) at points \(M\), \(D\), and \(N\) respectively. Find \(MD\) given that \(NA = 2\), \(NC = 3\), and \(\angle BCA = 60^\circ\).

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