Balls numbered $1,2,3,\dots$ are deposited in 5 bins, labeled $A,B,C,D,E$, using the following procedure. Balls 1 and 2 are deposited in bin $A$, and balls 3, 4, 5 are deposited in $B$. The next four balls are deposited in $C$, the next 5 in $D$, and so on, cycling back to bin $A$ after 6 balls are deposited in bin $E$. In which bin is ball 2024 deposited?