
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
The Tigers and Sharks initially played 5 times with the Tigers winning 3 of those games and the Sharks winning 2. After these games, they played $N$ more times, and the Sharks won all of those. At the end of all games played, the Sharks' winning percentage was at least 98%. Determine the minimum possible value for $N$.

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