
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 four parallel planes $\alpha_{1}, \alpha_{2}, \alpha_{3}, \alpha_{4}$ arranged in sequence, where the distance between each consecutive pair of planes is 1. If a regular tetrahedron $A_{1} A_{2} A_{3} A_{4}$ has its four vertices such that $A_{i} \in \alpha_{i}$ for $i=1, 2, 3, 4$, find the volume of this regular tetrahedron.

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