
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 high school sports event, the Dugu and Wuji volleyball teams adopt a best-of-five format (the match ends when one team wins three games). The probability of Dugu team winning the first game is $0.4$. The performance of the Dugu team is greatly influenced by emotions. If they win the previous game, the probability of winning the next game increases by $0.1$, otherwise, it decreases by $0.1$. The probability of the Dugu team winning no more than four games is ______.

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