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>

src/app/button-template.css

@@ -12,7 +12,11 @@
   letter-spacing: 1px;
   cursor: pointer;
   box-shadow: var(--btn-glow);
-  transition: transform 0.2s ease, filter 0.2s ease, background 1.6s ease, box-shadow 1.6s ease;
+  transition:
+    transform 0.2s ease,
+    filter 0.2s ease,
+    background 1.6s ease,
+    box-shadow 1.6s ease;
   display: inline-flex;
   align-items: center;
   justify-content: center;