fix(web-ui): show the scheduled job badge on workspace rows

src/web-ui/src/app/components/NavPanel/sections/sessions/SessionsSectionLayout.test.ts

@@ -170,6 +170,8 @@ describe('SessionsSection layout styles', () => {
     const btwBadgeBlock = extractInlineItemBlock(stylesheet, 'btw-badge');
     const reviewBadgeBlock = extractInlineItemBlock(stylesheet, 'review-badge');
     const backgroundSubagentBadgeBlock = extractInlineItemBlock(stylesheet, 'background-subagent-badge');
+    // Shared by session rows and workspace rows, so it must hold its slot width.
+    const cronBadgeBlock = extractInlineItemBlock(stylesheet, 'cron-badge');
 
     expect(labelBlock).toContain('flex: 1 1 0;');
     expect(labelBlock).toContain('overflow: hidden;');
@@ -189,6 +191,10 @@ describe('SessionsSection layout styles', () => {
     expect(backgroundSubagentBadgeBlock).toContain('line-height: 0;');
     expect(backgroundSubagentBadgeBlock).toContain('width: var(--openbitfun-control-icon-size-md);');
     expect(backgroundSubagentBadgeBlock).toContain('height: var(--openbitfun-control-icon-size-md);');
+    expect(cronBadgeBlock).toContain('flex: 0 0 auto;');
+    expect(cronBadgeBlock).toContain('display: inline-flex;');
+    expect(cronBadgeBlock).toContain('align-items: center;');
+    expect(cronBadgeBlock).toContain('white-space: nowrap;');
 
     const backgroundSubagentIconBlock = extractInlineItemBlock(stylesheet, 'background-subagent-icon');
     expect(backgroundSubagentIconBlock).toContain('place-self: center;');

src/web-ui/src/app/components/NavPanel/sections/workspaces/WorkspaceItem.tsx

@@ -117,6 +117,18 @@ const WorkspaceItem: React.FC<WorkspaceItemProps> = ({
     getCronJobCountsSnapshot,
   );
   const scheduledJobCount = cronJobCounts.byWorkspaceId.get(workspace.id) ?? 0;
+  // Rendered through ActionItem's trailing slot so both name rows keep the badge on
+  // the name line. The rows flatten that label slot with `display: contents`, so a
+  // badge appended to the label children would silently break if that rule changed.
+  const scheduledJobBadge = scheduledJobCount > 0 ? (
+    <span
+      className="openbitfun-nav-panel__inline-item-cron-badge"
+      title={t('nav.scheduledJobs.badgeTooltip', { count: scheduledJobCount })}
+    >
+      <Icon name="clock" size="2xs" aria-hidden />
+      {scheduledJobCount}
+    </span>
+  ) : undefined;
   const {
     setActiveWorkspace,
     closeWorkspaceById,
@@ -866,20 +878,12 @@ const WorkspaceItem: React.FC<WorkspaceItemProps> = ({
               className="openbitfun-nav-panel__assistant-item-name-action"
               triggerClassName="openbitfun-nav-panel__assistant-item-name-btn"
               labelBehavior="static"
+              metadata={scheduledJobBadge}
               onClick={e => { e.stopPropagation(); handleCollapseToggle(); }}
               data-testid="nav-workspace-name-btn"
               data-workspace-id={workspace.id}
             >
               <OverflowText className="openbitfun-nav-panel__assistant-item-label" data-openbitfun-product-component="workspace-item" data-openbitfun-product-part="label">{workspaceDisplayName}</OverflowText>
-              {scheduledJobCount > 0 ? (
-                <span
-                  className="openbitfun-nav-panel__inline-item-cron-badge"
-                  title={t('nav.scheduledJobs.badgeTooltip', { count: scheduledJobCount })}
-                >
-                  <Icon name="clock" size="2xs" aria-hidden />
-                  {scheduledJobCount}
-                </span>
-              ) : null}
             </ActionItem>
           </Tooltip>
 
@@ -1181,6 +1185,7 @@ const WorkspaceItem: React.FC<WorkspaceItemProps> = ({
                   className="openbitfun-nav-panel__workspace-item-name-action"
                   triggerClassName="openbitfun-nav-panel__workspace-item-name-btn"
                   labelBehavior="static"
+                  metadata={scheduledJobBadge}
                   onClick={e => { e.stopPropagation(); handleCollapseToggle(); }}
                   data-testid="nav-workspace-name-btn"
                   data-workspace-id={workspace.id}

src/web-ui/src/app/components/NavPanel/sections/workspaces/WorkspaceListSectionLayout.test.ts

@@ -159,6 +159,19 @@ describe('WorkspaceListSection layout styles', () => {
     expect(source.match(/data-testid="nav-workspace-new-session-btn"/g)).toHaveLength(2);
   });
 
+  it('keeps the scheduled-job badge on the trailing slot of both workspace rows', () => {
+    const source = readWorkspaceItemSource();
+
+    // The workspace row and the assistant-group row both flatten their ActionItem
+    // label slot with `display: contents`, so the badge must stay one flex sibling of
+    // the name and be rendered by each variant from a single source.
+    expect(source).toContain('const scheduledJobBadge = scheduledJobCount > 0 ? (');
+    expect(source.match(/metadata=\{scheduledJobBadge\}/g)).toHaveLength(2);
+    expect(source).not.toContain('{scheduledJobCount > 0 ?');
+    expect(source).toContain('className="openbitfun-nav-panel__inline-item-cron-badge"');
+    expect(source).toContain("title={t('nav.scheduledJobs.badgeTooltip', { count: scheduledJobCount })}");
+  });
+
   it('keeps workspace and assistant rows flat on hover', () => {
     const stylesheet = readWorkspaceListStylesheet();