feat(web): automatically update user info (#5647)

* use svelte store

* fix: websocket error when not authenticated

* more routes

web/src/lib/components/user-settings-page/user-profile-settings.svelte

@@ -8,6 +8,7 @@
   import { handleError } from '../../utils/handle-error';
   import SettingInputField, { SettingInputFieldType } from '../admin-page/settings/setting-input-field.svelte';
   import Button from '../elements/buttons/button.svelte';
+  import { setUser } from '$lib/stores/user.store';
 
   export let user: UserResponseDto;
 
@@ -22,6 +23,7 @@
       });
 
       Object.assign(user, data);
+      setUser(data);
 
       notificationController.show({
         message: 'Saved profile',