
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
The Lions are competing against the Eagles in a seven-game championship series. The Lions have a probability of $\dfrac{2}{3}$ of winning a game whenever it rains and a probability of $\dfrac{1}{2}$ of winning when it does not rain. Assume it's forecasted to rain for the first three games and the remaining will have no rain. What is the probability that the Lions will win the championship series? Express your answer as a percent, rounded to the nearest whole percent.

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