fix: Force page reload after logout to refresh authentication state

- Changed logout to use window.location.href for full page reload
- Ensures all components refresh and show correct unauthenticated state
- Fixes issue where logout appeared to do nothing until manual refresh
- Menu, notes section, and all auth-dependent UI now update immediately

Previously, using navigateTo() to the same page didn't trigger a refresh,
leaving stale authenticated UI visible. Full page reload ensures clean state.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

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

components/Menu.vue

@@ -148,8 +148,11 @@ const handleLogout = async () => {
   const currentPath = props.currentPath || route.fullPath
   await $fetch('/api/auth/logout', { method: 'POST' })
 
-  // Redirect back to the current page so user can continue browsing
-  await navigateTo(currentPath)
+  // Force a full page reload to refresh authentication state
+  // This ensures all components update correctly
+  if (import.meta.client) {
+    window.location.href = currentPath
+  }
 }
 
 // Close menu when clicking outside