
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 Knicks are playing the Bulls in an NBA playoff series. To advance to the next round, a team must win 4 games. Suppose the Bulls win each game with a probability of $\frac{3}{4}$ and there are no ties. What is the probability that the Knicks will advance to the next round but the series will go to the maximum of 7 games?

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