
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
Nine positive integers form a list, of which six are given as $6, 7, 2, 4, 8, 5$. What is the largest possible value of the median of this list if three of the remaining integers are less than or equal to 2?

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