Avni and Badal alternately choose numbers from the set $\{1,2,3,4,5,6,7,8,9\}$ without replacement (starting with Avni). The first person to choose numbers of which any $3$ sum to $15$ wins the game (for example, Avni wins if she chooses the numbers $8, 3, 5, 2$ since $8+5+2=15$). A player is said to have a winning strategy if the player can always win the game, no matter what the other player does. Which of the following statements is TRUE?
As a hint, there are exactly $8$ ways in which $3$ numbers from the set $\{1,2,3,4,5,6,7,8,9\} $ can sum up to $15$, shown as the three rows, the three columns, and the two diagonals in the following square:
$$\begin{array} & 8 & 1 & 6 \\ 3 & 5 & 7 \\ 4 & 9 & 2 \end{array}$$
- Avni has a winning strategy
- Badal has a winning strategy
- Both of them have a winning strategy
- Neither of them has a winning strategy
- The Player that picks $9$ has a winning strategy