
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
Three integers have a sum of $30$. When three more integers are added to the first three, the sum becomes $55$. Finally, when another set of three integers is added to the sum of the previous six integers, the sum becomes $88$. Calculate the minimum number of even integers among these nine integers.

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