docs: Fix flutter side name confusion

versioned_docs/version-3.1.0/06-concepts/11-authentication/01-setup.md

@@ -189,9 +189,9 @@ dependencies:
   serverpod_auth_idp_client: 3.x.x
 ```
 
-## App setup
+## Flutter setup
 
-First, add dependencies to your app's `pubspec.yaml` file for the methods of signing in that you want to support.
+First, add dependencies to your flutter app's `pubspec.yaml` file for the methods of signing in that you want to support.
 
 ```yaml
 dependencies:
@@ -238,7 +238,7 @@ In case you have an endpoint called `AuthEndpoint` - that will generate the `aut
 
 ### Initialize authentication
 
-The `initialize()` method restores any existing session from storage and validates it with the server. It should be called when your app starts:
+The `initialize()` method restores any existing session from storage and validates it with the server. It should be called when your flutter app starts:
 
 ```dart
 await client.auth.initialize();

versioned_docs/version-3.1.0/06-concepts/11-authentication/03-working-with-users.md

@@ -8,7 +8,7 @@ All authenticated users have an authentication identifier, that uniquely identif
 
 ```dart
 var userIdString = session.authenticated?.userIdentifier;
-// requires `import 'package:serverpod_auth_idp_server/serverpod_auth_idp_server.dart';`
+// requires `import 'package:serverpod_auth_idp_server/core.dart';`
 var userIdUuidValue = session.authenticated?.authUserId;
 ```
 

versioned_docs/version-3.1.0/06-concepts/11-authentication/04-providers/01-email/01-setup.md

@@ -90,7 +90,7 @@ For more details on configuration options, such as customizing password requirem
 If you are using the `config/passwords.yaml` file or environment variables, you can use the `EmailIdpConfigFromPasswords` constructor to automatically load the secret pepper. It will expect the `emailSecretHashPepper` key or the `SERVERPOD_PASSWORD_emailSecretHashPepper` environment variable to be set with the secret pepper value.
 :::
 
-## Client-side configuration
+## Flutter-side configuration
 
 If you have configured the `SignInWidget` as described in the [setup section](../../setup#present-the-authentication-ui), the Email identity provider will be automatically detected and displayed in the sign-in widget.