Fix live camera analysis loop

tests/e2e/app.spec.ts

@@ -40,6 +40,21 @@ test("live camera page exposes camera startup controls", async ({ page }) => {
   await expect(page.getByTestId("live-camera-start-button")).toBeVisible();
 });
 
+test("live camera starts analysis and produces scores", async ({ page }) => {
+  await installAppMocks(page, { authenticated: true });
+
+  await page.goto("/live-camera");
+  await page.getByRole("button", { name: "下一步" }).click();
+  await page.getByRole("button", { name: "下一步" }).click();
+  await page.getByRole("button", { name: "下一步" }).click();
+  await page.getByRole("button", { name: /启用摄像头/ }).click();
+
+  await expect(page.getByTestId("live-camera-analyze-button")).toBeVisible();
+  await page.getByTestId("live-camera-analyze-button").click();
+
+  await expect(page.getByTestId("live-camera-score-overall")).toBeVisible();
+});
+
 test("recorder flow archives a session and exposes it in videos", async ({ page }) => {
   await installAppMocks(page, { authenticated: true, videos: [] });