
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
Anthony the ant is at point  $A$  of regular tetrahedron  $ABCD$  with side length  $4$ . Anthony wishes to crawl on the surface of the tetrahedron to the midpoint of  $\overline{BC}$ . However, he does not want to touch the interior of face  $\vartriangle ABC$ , since it is covered with lava. What is the shortest distance Anthony must travel?

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