
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
After calculating the number \(8^{2021}\), compute the sum of its digits and record the result. Then, in the new recorded number, compute the sum of its digits and record the result again. Repeat these actions until a single-digit number is obtained. Find this single-digit number.

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