* Rename and consolidate ball state tracking across game modes
* Add ball finalization and win-condition hooks
* Track foul points by negating reaped ball points
* Update turn switching and ball processing flow
* Add active-player indicator to the camera controller UI
* Refresh active-player label when the turn changes
* Centralize ball state generation in `BaseMode`
* Track turn count, player, and ball state consistently
* Prevent 8-ball, 9-ball, and colored snooker balls from being marked valid when reaped/sunk
* Update mode initialization and ball-state assignment
* Normalize Free Ball mode node name to `freeball`
