fix(chats): align folders and session actions

Render managed Chats through the shared folder-aware session group and keep folder ownership at the Chats root, including new drafts and older per-directory scopes.

Hide worktree actions for Chats, make worktree shortcuts inert on Chat drafts, and let new-session shortcuts inherit an active session directory while explicit Chats controls still create managed Chat drafts.

packages/ui/src/components/session/sidebar/SessionNodeItem.tsx

@@ -43,6 +43,7 @@ import { getSessionGoal } from '@/lib/sessionGoalMetadata';
 import { sessionGoalStatusColor, sessionGoalStatusLabelKey } from '@/lib/sessionGoalPresentation';
 import { getRuntimeBearerTokenSync } from '@/lib/runtime-auth';
 import { getRuntimeApiBaseUrl } from '@/lib/runtime-switch';
+import { getChatsRootFromDirectory, isChatDirectoryPath } from '@/lib/chatDirectories';
 import { parseMultiRunSessionTitle } from '@/lib/multirun/title';
 import { MultiRunFusionDialog } from '@/components/multirun/MultiRunFusionDialog';
 import { FusionIcon } from '@/components/icons/FusionIcon';
@@ -957,7 +958,7 @@ function SessionNodeItemComponent(props: Props): React.ReactNode {
         <Icon name="download" className="mr-1 h-4 w-4" />
         {t('sessions.sidebar.session.menu.exportMarkdown')}
       </Item>
-      {!isSubtaskSession && !archivedBucket && !isVSCode ? (
+      {!isSubtaskSession && !archivedBucket && !isVSCode && !isChatDirectoryPath(sessionDirectory) ? (
         <Tooltip>
           <TooltipTrigger asChild>
             <span className="block">
@@ -1015,6 +1016,7 @@ function SessionNodeItemComponent(props: Props): React.ReactNode {
               .forEach((worktree) => pushScope(worktree.path));
           }
         }
+        pushScope(getChatsRootFromDirectory(sessionDirectory));
         pushScope(sessionDirectory);
         const folderEntries = scopes.flatMap((scope) =>
           getFoldersForScope(scope).map((folder) => ({ scope, folder })));