
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 spider lives on the surface of a regular tetrahedron whose edges are of length 2 units. Find the length of the shortest path the spider can travel from the midpoint of one edge to the midpoint of another edge that is not directly opposite but the next in sequence.

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