feat: tab system with per-tab agents, DB persistence, and DaisyUI tabs-lift UI

- Add tabs, messages, and settings tables to SQLite database
- Backend: refactor AgentManager to manage per-tab Agent instances via Map<tabId, TabAgent>
- Backend: WebSocket events tagged with tabId for multiplexing
- Backend: tab CRUD routes (create, list, update, archive, messages)
- Backend: persist user and assistant messages to DB during chat
- Frontend: new tabStore replaces single chatStore with multi-tab reactive state
- Frontend: TabBar component using DaisyUI tabs-lift style with status dots
- Frontend: Settings sidebar panel for title generation model selection
- Frontend: wire ChatPanel, ChatInput, Header to use tabStore
- Fix HMR listener accumulation via wsClient.clearCallbacks()
- Delete old single-chat chatStore (chat.svelte.ts)

1 files changed, 2 insertions, 6 deletions

diff --git a/packages/api/src/index.ts b/packages/api/src/index.ts
index 6ac6bca..a05f800 100644
--- a/packages/api/src/index.ts
+++ b/packages/api/src/index.ts
@@ -13,12 +13,8 @@ app.get(
 
 		return {
 			onOpen(_event, ws) {
-				// Send current status immediately
-				ws.send(JSON.stringify({ type: "status", status: agentManager.getStatus() }));
-
-				// Send current task list state
-				const tasks = agentManager.getTaskList().getTasks();
-				ws.send(JSON.stringify({ type: "task-list-update", tasks }));
+				// Send current statuses immediately
+				ws.send(JSON.stringify({ type: "statuses", statuses: agentManager.getAllStatuses() }));
 
 				// Send any pending permission prompts
 				const pending = permissionManager.getPending();