fix: rename logger from gotrue to auth

Author: Vinzent03

packages/gotrue/lib/src/broadcast_web.dart

@@ -5,7 +5,7 @@ import 'dart:js_util' as js_util;
 import 'package:gotrue/src/types/types.dart';
 import 'package:logging/logging.dart';
 
-final _log = Logger('supabase.gotrue');
+final _log = Logger('supabase.auth');
 
 BroadcastChannel getBroadcastChannel(String broadcastKey) {
   final broadcast = html.BroadcastChannel(broadcastKey);

packages/gotrue/lib/src/gotrue_client.dart

@@ -89,7 +89,7 @@ class GoTrueClient {
 
   final AuthFlowType _flowType;
 
-  final _log = Logger('supabase.gotrue');
+  final _log = Logger('supabase.auth');
 
   /// Proxy to the web BroadcastChannel API. Should be null on non-web platforms.
   BroadcastChannel? _broadcastChannel;

packages/supabase_flutter/README.md

@@ -52,6 +52,7 @@ final supabase = Supabase.instance.client;
 * [Edge Functions](#edge-functions)
 * [Deep Links](#deep-links)
 * [Custom LocalStorage](#custom-localstorage)
+- [Logging](#logging)
 
 
 ### <a id="authentication"></a>[Authentication](https://supabase.com/docs/guides/auth)
@@ -621,7 +622,7 @@ supabaseLogger.onRecord.listen((record) {
 - `supabase_flutter`: `Logger('supabase.supabase_flutter')`
 - `supabase`: `Logger('supabase.supabase')`
 - `postgrest`: `Logger('supabase.postgrest')`
-- `gotrue`: `Logger('supabase.gotrue')`
+- `gotrue`: `Logger('supabase.auth')`
 - `realtime_client`: `Logger('supabase.realtime')`
 - `storage_client`: `Logger('supabase.storage')`
 - `functions_client`: `Logger('supabase.functions')`