
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
In one urn, there are two white balls, in another—two black balls, in the third—one white ball and one black ball. Each urn has a label indicating its contents: $W W$, $B B$, $W B$. However, a prankster has swapped all the labels so that now each label incorrectly describes the contents of the urn. You are allowed to draw a ball from any urn without looking into it. What is the minimum number of draws required to determine the contents of all three urns? (After each draw, the ball is placed back in the urn.)

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