test: verify LLM call logs endpoint returns data after generation

e2e/tests/generation-live.spec.ts

@@ -287,5 +287,27 @@ test.describe('Live generation with OpenAI', () => {
       expect(entry.synthesis_id).toBe(synthesisId);
       expect(entry.job_id).toBeTruthy();
     }
+
+    // ═══════════════════════════════════════════════════════════════
+    // LLM call logs verification
+    // ═══════════════════════════════════════════════════════════════
+    const jobId = usedEntries[0]?.job_id;
+    if (jobId) {
+      const logsResp = await apiCall(page, 'GET', `/api/v1/llm-logs/${jobId}`);
+      expect(logsResp.status).toBe(200);
+      const logs = logsResp.data;
+      expect(Array.isArray(logs)).toBe(true);
+      expect(logs.length).toBeGreaterThan(0);
+
+      // Should have at least a rewrite call
+      const callTypes = logs.map((l: any) => l.call_type);
+      expect(callTypes).toContain('rewrite');
+
+      // Each log entry should have model and timing
+      for (const log of logs) {
+        expect(log.model).toBeTruthy();
+        expect(log.duration_ms).toBeGreaterThanOrEqual(0);
+      }
+    }
   });
 });