Implement Genius Square, a 6x6 grid puzzle game where players place 9
polyomino pieces to fill the board around randomly placed blockers.
Key features:
- Pure JS game logic (GeniusSquareLogic.js) with backtracking solver
- AI opponent with 5 skill levels using pre-computed solutions
- Phaser-based UI with piece tray, grid rendering, and animations
- Dice-based blocker placement using zone partitioning for balanced boards
- Orientation support: rotate (R), flip (F), and piece lifting
- Win/loss overlay with play again and menu options
- Register game in server registry and scene dispatchers
