feat(phase1.2): fix GameManager interface to match Unified API

- Create comprehensive types.ts with all required manager interfaces
- Define GameManager with proper Unified API compliance
- Implement CursorManager interface in useCursor with VIM motions
- Add SnakeCursorManager type with snake-specific extensions
- Update useGame to return proper GameManager interface
- Support both old (cols, rows) and new (options) signatures
- Add quitGame alias for stopGame in useGameStatus
- Wrap renderBoard to match Unified API signature (no parameters)
- Add placeholder for totalKeystrokes and finalScore in ScoreManager
- All TypeScript builds successfully
- Example app builds without errors

src/useCursor/useCursor.ts

@@ -1,5 +1,5 @@
 import { useRef, useState } from "react";
-import type { Direction, SnakeBody } from "../types";
+import type { Direction, SnakeBody, Position } from "../types";
 import type { UseBoardType } from "../useBoard";
 
 export function useCursor(
@@ -163,7 +163,73 @@ export function useCursor(
     return "continue";
   };
 
+  // Unified API compliant methods
+  const position = (): Position => {
+    const head = snakeBodyRef.current[0];
+    return head || { r: 0, c: 0 };
+  };
+
+  const mode = () => 'normal' as const;
+
+  const moveLeft = (_count?: number) => {
+    changeDirection('left');
+  };
+
+  const moveRight = (_count?: number) => {
+    changeDirection('right');
+  };
+
+  const moveUp = (_count?: number) => {
+    changeDirection('up');
+  };
+
+  const moveDown = (_count?: number) => {
+    changeDirection('down');
+  };
+
+  const moveToStart = () => {
+    // Snake-specific: move to leftmost position on current row
+    changeDirection('left');
+  };
+
+  const moveToEnd = () => {
+    // Snake-specific: move to rightmost position on current row
+    changeDirection('right');
+  };
+
+  const moveToTop = () => {
+    // Snake-specific: move to top of board
+    changeDirection('up');
+  };
+
+  const moveToBottom = () => {
+    // Snake-specific: move to bottom of board
+    changeDirection('down');
+  };
+
+  const lastMotionRef = useRef<Direction | null>(null);
+
+  const repeatLastMotion = () => {
+    if (lastMotionRef.current) {
+      changeDirection(lastMotionRef.current);
+    }
+  };
+
   return {
+    // Unified API methods
+    position,
+    mode,
+    moveLeft,
+    moveRight,
+    moveUp,
+    moveDown,
+    moveToStart,
+    moveToEnd,
+    moveToTop,
+    moveToBottom,
+    repeatLastMotion,
+
+    // Snake-specific methods (with proper values)
     snakeBody,
     snakeBodyRef,
     direction,