I use Verizon Messages on my device and on the web. I love that I don't get any notice when messages on muted conversations come in on my device. But, I haven't found a way to have the same thing happen on the web. I'm getting the desktop notifications for all messages, whether or not the conversations are muted on the mobile phone. I can understand that I may need to set the conversation as muted on the web in order to no longer receive the desktop notifications, but I can't find any setting to do so.