fix(analysis): fix API field mismatch and enable full game analysis

Map raw backend response (evaluation/continuationMoves) to frontend
model (eval/winChance/continuations). Add getFenHistory() call after
loading a game or PGN so runAnalysis() gets per-ply FEN history and
triggers analyzeGame() instead of falling back to single-position
analysis. Remove !hasAnnotations guard so positionAnalysis card shows
even when a game is loaded.

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

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

@@ -1,6 +1,7 @@
 import { Injectable, inject } from '@angular/core';
 import { HttpClient, HttpParams } from '@angular/common/http';
 import { Observable } from 'rxjs';
+import { map } from 'rxjs/operators';
 import { environment } from '../../environments/environment';
 import {
   GameFull,
@@ -9,7 +10,7 @@ import {
   LegalMovesResponse,
   PlayerInfo,
 } from '../models/game.models';
-import { AnalysisRequest, AnalysisResponse } from '../models/analysis.models';
+import { AnalysisRequest, AnalysisResponse, RawAnalysisResponse } from '../models/analysis.models';
 import { StreamHandlerService } from './stream-handler.service';
 
 @Injectable({ providedIn: 'root' })
@@ -78,8 +79,28 @@ export class GameApiService {
     return this.http.post<void>(`${this.apiBase}${this.apiPath}/${gameId}/draw/offer`, {});
   }
 
+  getFenHistory(gameId: string): Observable<string[]> {
+    return this.http
+      .get<{ fens: string[] }>(`${this.apiBase}${this.apiPath}/${gameId}/fen-history`)
+      .pipe(map((r) => r.fens));
+  }
+
   analyzePosition(request: AnalysisRequest): Observable<AnalysisResponse> {
-    return this.http.post<AnalysisResponse>(`${this.apiBase}/api/analysis/position`, request);
+    return this.http
+      .post<RawAnalysisResponse>(`${this.apiBase}/api/analysis/position`, request)
+      .pipe(map((raw) => this.mapAnalysisResponse(raw)));
+  }
+
+  private mapAnalysisResponse(raw: RawAnalysisResponse): AnalysisResponse {
+    const evalPawns = raw.evaluation / 100;
+    return {
+      eval: evalPawns,
+      winChance: 1 / (1 + Math.exp(-0.374 * evalPawns)),
+      depth: raw.depth,
+      bestMove: raw.bestMove,
+      mate: raw.mate,
+      continuations: raw.continuationMoves ?? [],
+    };
   }
 
   private resolveWsBase(): string {