feat: NCWF-5/6/7/8/9 chess analysis page and engine integration

- NCWF-5: scaffold /analysis route with ChessBoard viewer and navigation
- NCWF-6: FEN / PGN / Game-ID input form with depth selector
- NCWF-7: extend GameApiService with analyzePosition(); add AnalysisService
  with game-wide annotation pipeline; proxy /api/analysis -> :8087
- NCWF-8: EvalTimelineComponent — SVG win-chance chart per ply
- NCWF-9: AnnotatedMoveListComponent — quality labels (!! ! ?! ? ??)
  derived from win-chance delta

Also fix pre-existing app.spec.ts failure (missing provideHttpClient).
Apply project-wide prettier formatting pass.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

docs/board-api-spec.yaml

@@ -55,7 +55,6 @@ tags:
     description: Export a game as FEN or PGN
 
 paths:
-
   # ---------------------------------------------------------------------------
   # Game lifecycle
   # ---------------------------------------------------------------------------
@@ -467,7 +466,6 @@ paths:
 # =============================================================================
 
 components:
-
   securitySchemes:
     bearerAuth:
       type: http
@@ -517,7 +515,6 @@ components:
             $ref: '#/components/schemas/ApiError'
 
   schemas:
-
     # -------------------------------------------------------------------------
     # Requests
     # -------------------------------------------------------------------------
@@ -551,7 +548,7 @@ components:
         pgn:
           type: string
           description: PGN text (headers and move list)
-          example: "1. e4 e5 2. Nf3 Nc6 *"
+          example: '1. e4 e5 2. Nf3 Nc6 *'
 
     # -------------------------------------------------------------------------
     # Game state
@@ -587,7 +584,7 @@ components:
         pgn:
           type: string
           description: PGN move text for the full game so far
-          example: "1. e4"
+          example: '1. e4'
         turn:
           type: string
           enum: [white, black]