
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
A vessel with a capacity of 8 liters is filled with a mixture of oxygen and nitrogen, with oxygen comprising $16 \%$ of the vessel's capacity. Some amount of this mixture is released from the vessel and the same amount of nitrogen is added. Then, the same quantity of this mixture is released again and the same quantity of nitrogen is added again. In the new mixture, oxygen makes up $9 \%$. What quantity of the mixture is released from the vessel each time?

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