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You can win if your opponent doesn't know the trick.
To start, you always click 3. The pattern goes 3, 8, 13, 18, 23.
The maximum he/she can click is 4, which makes 7. Plus one and your on 8, having an easy win. From 8, even if your opponent clicks 2, you can always add up to 13. 13 plus 3 is 16. If you add another 2, it creates 18. Your opponent cannot win in any shape or form if you get to 18.