fix: properly migrate broadcast channel to web package

Author: Vinzent03

packages/gotrue/lib/src/broadcast_web.dart

@@ -12,15 +12,14 @@ BroadcastChannel getBroadcastChannel(String broadcastKey) {
   final broadcast = web.BroadcastChannel(broadcastKey);
   final controller = StreamController<Map<String, dynamic>>();
 
-  broadcast.addEventListener(
-    'message',
-    (web.Event event) {
-      if (event is web.MessageEvent) {
-        final dataMap = event.data.dartify();
-        controller.add(json.decode(json.encode(dataMap)));
-      }
-    } as web.EventListener,
-  );
+  void onMessage(web.Event event) {
+    if (event is web.MessageEvent) {
+      final dataMap = event.data.dartify();
+      controller.add(json.decode(json.encode(dataMap)));
+    }
+  }
+
+  broadcast.onmessage = onMessage.toJS;
 
   return (
     onMessage: controller.stream,

packages/gotrue/lib/src/gotrue_client.dart

@@ -1205,7 +1205,8 @@ class GoTrueClient {
             notifyAllSubscribers(event, session: session, broadcast: false);
           }
         });
-      } catch (e) {
+      } catch (error, stackTrace) {
+        _log.warning('Failed to start broadcast channel', error, stackTrace);
         // Ignoring
       }
     }