refactor: Simplify logout process and enhance routing in authentication components

- Remove unnecessary async handling in logout functions across UserProfile.vue and Navbar.vue.
- Integrate `useRouter` for consistent redirection to the login page after logout.
- Update `logout` method in useAuth.ts to clear local state without an API call.

src/composables/useAuth.ts

@@ -1,5 +1,4 @@
 import { ref, computed } from 'vue'
-import { useRouter } from 'vue-router'
 import { lnbitsAPI, type User, type LoginCredentials, type RegisterData } from '@/lib/api/lnbits'
 
 const currentUser = ref<User | null>(null)
@@ -7,7 +6,6 @@ const isLoading = ref(false)
 const error = ref<string | null>(null)
 
 export function useAuth() {
-  const router = useRouter()
   const isAuthenticated = computed(() => !!currentUser.value)
 
   /**
@@ -77,16 +75,10 @@ export function useAuth() {
    * Logout and clear user data
    */
   async function logout(): Promise<void> {
-    try {
-      await lnbitsAPI.logout()
-    } catch (err) {
-      console.error('Logout error:', err)
-    } finally {
-      currentUser.value = null
-      error.value = null
-      // Redirect to login page after logout
-      router.push('/login')
-    }
+    // Clear local state
+    lnbitsAPI.logout()
+    currentUser.value = null
+    error.value = null
   }
 
   /**