
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
Alice pours 5 ounces of tea into a 10-ounce mug and 3 ounces of milk into a second 10-ounce mug. She then transfers 2 ounces of tea from the first mug to the second and mixes them thoroughly. After this, Alice pours 3 ounces from the second mug back to the first. Calculate the fraction of the liquid in the first mug that is now milk.
A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{3}{10}$
D) $\frac{3}{8}$

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