feat: NCWF-5/6/7/8/9 chess analysis page and engine integration (#11)

Co-authored-by: Janis Eccarius <eccariusjanis@gmail.com>
Reviewed-on: #11

src/app/services/game-api.service.ts

@@ -9,6 +9,7 @@ import {
   LegalMovesResponse,
   PlayerInfo
 } from '../models/game.models';
+import { AnalysisRequest, AnalysisResponse } from '../models/analysis.models';
 import { StreamHandlerService } from './stream-handler.service';
 
 @Injectable({ providedIn: 'root' })
@@ -75,6 +76,10 @@ export class GameApiService {
     return this.http.post<void>(`${this.apiBase}${this.apiPath}/${gameId}/draw/offer`, {});
   }
 
+  analyzePosition(request: AnalysisRequest): Observable<AnalysisResponse> {
+    return this.http.post<AnalysisResponse>(`${this.apiBase}/api/analysis/position`, request);
+  }
+
   private resolveWsBase(): string {
     if (this.wsBase) {
       return this.wsBase;