Showing chat notification on the ribbon menu

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Is your feature request related to a problem? Please describe.
chats notification status is shown on the chats list, however, I would like it to appear on more options on the toolbar too[refer to image for the exact position]

Describe the solution you’d like
by showing the notification icon on the toolbar, we can make it more evident that a chat notification it there

Additional context

if we can have a notification update on those three dots, I’ve focused it would be great