
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
In a square \(ABCD\) with side length 2, \(E\) is the midpoint of \(AB\). The triangles \(\triangle AED\) and \(\triangle BEC\) are folded along \(ED\) and \(EC\) respectively so that \(EA\) and \(EB\) coincide, forming a tetrahedron. What is the volume of this tetrahedron?

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