
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 a tetrahedron \(ABCD\) where \(AB = CD = 2\) and \(AD = AC = BC = BD = 3\), let \(M\) and \(N\) be moving points on \(AB\) and \(CD\) respectively. Find the minimum value of \(MN\).

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