Integrate managed lock screen recovery

config/dot/quickshell/services/SettingsBackup.qml

@@ -50,6 +50,8 @@ Singleton {
         return String(DesktopPreferences.get("wallpaperPath") ?? "");
     }
     property var applyWallpaper: function(path) { Wallpaper.set(path); }
+    property var regenerateLock: function() { LockScreen.regenerate(); }
+    property var lockBusy: function() { return LockScreen.busy; }
     property var reloadShell: function() { Quickshell.reload(false); }
     property var protectedDisplays: ({})
 
@@ -119,6 +121,7 @@ Singleton {
             root.applyCompositor();
             root.reloadKeybinds();
             root.applyWallpaper(root.currentWallpaper());
+            root.regenerateLock();
 
             settleReload.attempts = 0;
             settleReload.restart();
@@ -135,7 +138,7 @@ Singleton {
             // Let the current instances finish their external writes before a
             // soft reload replaces them. The cap keeps a failed external tool
             // from leaving restored Home state stale indefinitely.
-            if ((!root.keybindsReloading() && !root.systemBusy()) || attempts >= 30) {
+            if ((!root.keybindsReloading() && !root.systemBusy() && !root.lockBusy()) || attempts >= 30) {
                 stop();
                 root.setDisplayBlocked(false);
                 root.protectedDisplays = ({});