You can define 2 types of Do not disturb mode.
Temporary Do not disturb
When you enable temporary do not disturb neither browser notifications nor mobile push notifications will be triggered. This feature can be typically used when you attend a meeting.
You can enable this mode from the user menu.
Set default Do not disturb hours
From the preferences, you can define default do not disturb hours. talkspirit will not send any mobile notifications of activity to users.