
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
Owen leads by 60 points, and for each shot, a bullseye scores 9 points, while other possible scores are 6, 3, and 1 point, but Owen never scores less than 3 points per shot. Calculate the minimum value of $n$ necessary for Owen to be certain of winning.

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