refactor(core): NCS-22 update GameEngine to use GameContext and integrate Rule module

modules/rule/src/main/scala/de/nowchess/rules/RuleSet.scala

@@ -31,3 +31,9 @@ trait RuleSet:
 
   /** True if halfMoveClock >= 100 (50-move rule). */
   def isFiftyMoveRule(context: GameContext): Boolean
+
+  /** Apply a legal move to produce the next game context.
+   *  Handles all special move types: castling, en passant, promotion.
+   *  Updates castling rights, en passant square, half-move clock, turn, and move history.
+   */
+  def applyMove(context: GameContext, move: Move): GameContext