
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
Alex chooses three from the six primes 2003, 2011, 2017, 2027, 2029, and 2039. The mean of his three primes is 2023. What is the mean of the other three primes?

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