
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
Seven dwarfs are seated around a round table, each with a mug in front of them. Some of these mugs contain milk. One of the dwarfs pours all of their milk into the mugs of the others in equal amounts. Then, the dwarf to their right does the same, followed by the next dwarf to the right, and so on. After the seventh and final dwarf has poured their milk into the others' mugs, each mug contains the same amount of milk as it did initially. Altogether, the mugs contain 3 liters of milk. How much milk was originally in each mug?

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