
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 a tournament with three teams, the probability of Team A beating Team B is $0.4$, the probability of Team B beating Team C is $0.5$, and the probability of Team C beating Team A is $0.6$. The sequence of the matches is as follows: the first match is Team A against Team B, the second match is the winner of the first match against Team C, the third match is the winner of the second match against the loser of the first match, and the fourth match is the winner of the third match against the loser of the second match. The probability of Team B winning four consecutive matches is ______.

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