
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
Person A and Person B each shoot once, with the probabilities of hitting the target being $\frac{2}{3}$ and $\frac{3}{4}$, respectively. Assume that whether each person hits the target does not affect the other, and each shot is independent of the others.  
(1) Calculate the probability that Person A, shooting 4 times, misses the target at least once;  
(2) Assuming a person stops shooting after missing the target consecutively 2 times, what is the probability that Person B stops shooting exactly after 5 shots?

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