
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
Initially, there are three cards in a box, each with numbers $1, 2, 3$. Each time, two cards are drawn from the box, and their sum is written on another blank card, then one card is put back into the box. After performing this operation 5 times, all cards except the last one have been drawn at least once but not more than twice. What is the maximum number on the card in the box at this point?

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