Alice and Bob play a game with the following rules:

- There are 9 cards on a table with the numbers: \(2,4,8,16,32,64,128,256,512\)
- In each turn a player pick exactly one card.
- Whoever gathers 3 cards with a product of \(32768\) wins.
- Both players play optimally.
- Alice starts first.

Question: Which player has a winning strategy?

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