feat: TUI room creation + daemon-side room persistence

/room <name> in the TUI sends create_room to the daemon, which persists
it in the rooms SQLite table and echoes room_created back. state_snapshot
now includes persisted rooms so they survive reconnects. Tab navigation
and room rendering pick them up automatically.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

cmd/tui/main.go

@@ -251,8 +251,15 @@ func (m model) applyEvent(evt proto.IpcMessage) model {
 			m.peers[p.ID] = p.Alias
 			m.peerOrder = append(m.peerOrder, p.ID)
 		}
+		for _, r := range evt.Rooms {
+			m = m.addRoom(r)
+		}
 		m.status = fmt.Sprintf("● %s  ·  %s", m.localAlias, m.networkName)
 
+	case proto.EvtRoomCreated:
+		m = m.addRoom(evt.Room)
+		m = m.refreshViewport()
+
 	case proto.EvtSessionReady:
 		if evt.PeerID != nil {
 			pid := *evt.PeerID
@@ -309,6 +316,14 @@ func (m model) doSend(cmds []tea.Cmd) (model, []tea.Cmd) {
 	}
 	m.input.SetValue("")
 
+	if strings.HasPrefix(body, "/room ") {
+		name := strings.TrimSpace(strings.TrimPrefix(body, "/room "))
+		if name != "" {
+			cmds = append(cmds, sendIPC(m.enc, proto.IpcMessage{Type: proto.CmdCreateRoom, Room: name}))
+		}
+		return m, cmds
+	}
+
 	room := m.rooms[m.activeRoom]
 	ipcMsg := proto.IpcMessage{Type: proto.CmdSendMessage, Room: room, Body: body}
 	if strings.HasPrefix(room, "dm:") {
@@ -430,7 +445,7 @@ func (m model) View() string {
 	if m.errMsg != "" {
 		statusLine = styleErr.Render(" ✗ " + m.errMsg)
 	} else {
-		hint := "  tab: rooms · ctrl+i: invite · ctrl+c: quit"
+		hint := "  tab: rooms · /room <name>: new room · ctrl+i: invite · ctrl+c: quit"
 		statusLine = styleStatus.Width(m.width).Render(" " + m.status + hint)
 	}