chore: restructure llm plugin to be more coherent & fix various bugs in llm ui

Modules/Notifications/Sidebar/Chat/ChatState.qml

@@ -8,9 +8,10 @@ import qs.Services
 Singleton {
 	id: root
 
-	property ChatSession chatSession
-	readonly property string title: chatSession ? chatSession.title : "Chat"
+	property ChatSession chatSession: LlmClient.chats.draft()
+	readonly property string title: chatSession?.title || "Chat"
 	property int currentIdx: -1
+	property bool firstOpen: true
 	property bool inChat: false
 	property bool fabExpanded: false
 	property bool isWindow: false
@@ -22,6 +23,11 @@ Singleton {
 	property ShellScreen screen
 	property bool sidebarVisible: ShellState.forActive().sidebar
 
+	function openDraft(): void {
+		root.chatSession = LlmClient.chats.draft();
+		root.currentIdx = -1;
+	}
+
 	onSidebarVisibleChanged: if (!sidebarVisible)
 		fabExpanded = false
 }