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/pages/bots/bots.component.ts

@@ -11,7 +11,7 @@ import { Bot, BotWithToken } from '../../models/bot.models';
   standalone: true,
   imports: [CommonModule, RouterLink, FormsModule],
   templateUrl: './bots.component.html',
-  styleUrl: './bots.component.css'
+  styleUrl: './bots.component.css',
 })
 export class BotsComponent implements OnInit {
   private readonly destroyRef = inject(DestroyRef);
@@ -36,11 +36,17 @@ export class BotsComponent implements OnInit {
 
   loadBots(): void {
     this.loading = true;
-    this.botService.list()
+    this.botService
+      .list()
       .pipe(takeUntilDestroyed(this.destroyRef))
       .subscribe({
-        next: bots => { this.bots = bots; this.loading = false; },
-        error: () => { this.loading = false; }
+        next: (bots) => {
+          this.bots = bots;
+          this.loading = false;
+        },
+        error: () => {
+          this.loading = false;
+        },
       });
   }
 
@@ -66,10 +72,10 @@ export class BotsComponent implements OnInit {
         this.bots = [bot, ...this.bots];
         this.revealedTokens[bot.id] = bot.token;
       },
-      error: err => {
+      error: (err) => {
         this.creating = false;
         this.createError = err.error?.message ?? err.error?.error ?? 'Failed to create bot.';
-      }
+      },
     });
   }
 
@@ -80,11 +86,13 @@ export class BotsComponent implements OnInit {
     }
     this.revealingId = botId;
     this.botService.rotateToken(botId).subscribe({
-      next: token => {
+      next: (token) => {
         this.revealingId = null;
         this.revealedTokens[botId] = token;
       },
-      error: () => { this.revealingId = null; }
+      error: () => {
+        this.revealingId = null;
+      },
     });
   }
 
@@ -93,7 +101,9 @@ export class BotsComponent implements OnInit {
     if (!token) return;
     navigator.clipboard.writeText(token).then(() => {
       this.copiedId = botId;
-      setTimeout(() => { this.copiedId = null; }, 2000);
+      setTimeout(() => {
+        this.copiedId = null;
+      }, 2000);
     });
   }
 
@@ -102,10 +112,12 @@ export class BotsComponent implements OnInit {
     this.botService.delete(botId).subscribe({
       next: () => {
         this.deletingId = null;
-        this.bots = this.bots.filter(b => b.id !== botId);
+        this.bots = this.bots.filter((b) => b.id !== botId);
         delete this.revealedTokens[botId];
       },
-      error: () => { this.deletingId = null; }
+      error: () => {
+        this.deletingId = null;
+      },
     });
   }
 }