
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
A marksman has a probability of 0.8 to hit the target with one shot. If they shoot 4 times in a row, with each shot being independent of the previous, the following statements can be made:  
(1) The probability of hitting the target on the second try is 0.8;  
(2) The probability of hitting the target exactly three times is $0.8^3 \times 0.2$;  
(3) The probability of hitting the target at least once is $1 - 0.2^4$;  
Which of the above conclusions are correct? Write the number(s) of all correct conclusions.

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