
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
John has two identical cups. Initially, he puts six ounces of tea into the first cup and six ounces of milk into the second cup. He then transfers three ounces of tea from the first cup to the second and mixes thoroughly. Afterward, he transfers four ounces of the mixture from the second cup back to the first. John then repeats this by transferring half of the content from the first cup back to the second. What fraction of the liquid in the second cup is now tea?
A) $\frac{1}{3}$
B) $\frac{4}{7}$
C) $\frac{3}{7}$
D) $\frac{3.166}{7}$
E) $\frac{1}{2}$

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