[Vuejs]-Active user does not show in real time chat app

"Also, this method does not work properly because in console log it shows undefined is typing…"

i assume you made a typo in your console.log, you probably meant:

this.user.first_name

Concerning your "realtime" problem, i suspect it might be because your broadcasted Event is being queued, so you might want to use the ShouldBroadcastNow instead of ShouldBroadcast