Show project icons in status-grouped sidebar rows (#2416)

* feat: show project icons in sidebar status view

* test(sidebar): keep status icon regression active

The ten-second mock can finish during app startup, removing the Working bucket before the icon assertion. Keep the seeded workspace active for the full scenario.

---------

Co-authored-by: Mohamed Boudra <boudra.moha@gmail.com>

packages/app/e2e/sidebar-model-b.spec.ts

@@ -122,6 +122,7 @@ test.describe("Model B sidebar shape", () => {
       repoPrefix: "model-b-status-active-",
       title: "Working workspace",
       initialPrompt: "stay busy",
+      model: "one-minute-stream",
     });
 
     try {
@@ -152,6 +153,14 @@ test.describe("Model B sidebar shape", () => {
       // the status view.
       await expect(sidebar.locator('[data-testid^="workspace-tab-"]')).toHaveCount(0);
 
+      // Status mode drops the project grouping, so each row leads its subtitle
+      // with the project's icon to keep projects distinguishable.
+      for (const workspaceId of [idleProject.workspaceId, activeMock.workspaceId]) {
+        await expect(
+          page.getByTestId(`sidebar-row-project-icon-${getServerId()}:${workspaceId}`).first(),
+        ).toBeVisible({ timeout: 60_000 });
+      }
+
       // The busy workspace is grouped under Working, the idle one under Done:
       // changing one workspace's status moved only that row.
       const workingRows = page.getByTestId("sidebar-status-group-rows-running");