
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
At the end of the day, a bakery had $\frac{8}{9}$ of a pie left over. Louie, Dewey, and Huey decided to split the pie, but this time Louie took double the amount of pie that Dewey or Huey took individually. What fraction of the pie did Louie take home?

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