
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
What is the sum of all three-digit primes that are greater than 100 but less than 500 and are still prime when their digits are reversed? Additionally, these primes must contain at least two identical digits.

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