How to make Laravel Sanctum (SPA) with Vue cli Private channel Broadcasting using Websocket ?

Presence and Private Channel Not working in Laravel Sanctum SPA Authentication. It's only working in public channel.

#Please help me. I have been struggling last 7 days.

I am using Qiralab Sanctum Github Repo so here is no problem in authentication I think so.

Here is my github code: https://github.com/joneyspark/spa-chat-ws

• Websockets are configured and it's working public channel

#MessageSent.php

class MessageSent implements ShouldBroadcast
{
    use Dispatchable, InteractsWithSockets, SerializesModels;

    public $message;

    public function __construct(Message $message)
    {
        $this->message = $message;
    }

    public function broadcastOn()
    {
        return new PresenceChannel('chat');
    }
}

#ChatsController.php

class ChatsController extends Controller
{
    public function fetch_messages()
    {
        return Message::with('user')->get();
    }
    public function send_messages(Request $request)
    {
        $message = auth()->user()->messages()->create([
        'message' => $request->message
        ]);

        broadcast(new MessageSent($message->load('user')))->toOthers();

        return ['status' => 'success'];
    }
}

#channels.php

Broadcast::channel('chat', function ($user) {
    return $user;
});

#BroadcastServiceProvider

class BroadcastServiceProvider extends ServiceProvider
{
    public function boot()
    {
        Broadcast::routes(['middleware' => ['auth:sanctum']]);
        require base_path('routes/channels.php');
    }
}

#Vue CLI

import Echo from "laravel-echo";
import Request from "./apis/Request";

window.Pusher = require("pusher-js");

window.Echo = new Echo({
  broadcaster: "pusher",
  key: process.env.VUE_APP_WEBSOCKETS_KEY,
  wsHost: process.env.VUE_APP_WEBSOCKETS_SERVER,
  wsPort: 6001,
  forceTLS: false,
  disableStats: true,
  enabledTransports: ["ws", "wss"],
  authorizer: (channel, options) => {
    console.log("OPTIONS>>", options);
    return {
      authorize: (socketId, callback) => {
        Request.POST_REQ("/broadcasting/auth", {
          socket_id: socketId,
          channel_name: channel.name,
          withCredentials: true,
        })
          .then((response) => {
            callback(false, response.data);
            console.log("RESPONSE>>", response);
          })
          .catch((error) => {
            callback(true, error);
          });
      },
    };
  },
});

#Chat.vue

created() {
    this.fetchMessages();
    window.Echo.join("chat").listen("MessageSent", (event) => {
      console.log(event.message);
      this.messages.push(event.message);
    });
  },

#.env

VUE_APP_WEBSOCKETS_KEY = local
VUE_APP_WEBSOCKETS_SERVER = 127.0.0.1