
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 Sarah has a six-ounce cup of coffee and an identical cup containing three ounces of milk. She pours one-third of the coffee into the milk, mixes it thoroughly, and then pours half of this mixed content back into the coffee cup. What fraction of the liquid in the coffee cup is now milk.

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