v1.12.1: rich status indicator + server-side workspace pane sync

Status indicator (StatusDot): drops the flat amber pulse for a richer set
of states — orbiting amber for streaming, spinning sky ring for tool_running,
static violet for waiting_for_input, plus the existing idle/error. Backend
chat_status frame widens from 'working|idle|error' to discriminate streaming
vs tool execution vs paused for user input.

Workspace pane sync: pane layout moves from per-device localStorage to
server-side sessions.workspace_panes jsonb. PATCH /api/sessions/:id/workspace
broadcasts session_workspace_updated on the user channel for cross-device live
sync. Echo dedup via JSON comparison so the round-trip frame doesn't loop.
Legacy localStorage seeds the server on first hydrate, then is deleted.
Deprecated session_panes table dropped.

Resilience: startup sweep marks any stale 'streaming' message older than
5 minutes as 'failed' so v1.12.0-style hung rows clear on container restart.
useWorkspacePanes gains validatePanes() to prune dead chatId references from
saved pane state when the chat list lands.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

apps/web/src/pages/Session.tsx

@@ -59,6 +59,7 @@ function SessionInner({ sessionId }: { sessionId: string }) {
     removePane,
     removeChatFromPanes,
     initializeFirstChatIfEmpty,
+    validatePanes,
   } = panesHook;
 
   const openChatInActivePane = useCallback(
@@ -70,6 +71,7 @@ function SessionInner({ sessionId }: { sessionId: string }) {
     openChatInPane,
     openChatInActivePane,
     initializeFirstChatIfEmpty,
+    validatePanes,
   });
   const { chats, renameChat } = chatsHook;