Remove notification in Inbox for assigned tasks per project

Can you add the possibility to turn off the notification in the Inbox for when tasks are assigned to that user? It should be possible to do per project, so it is possible to avoid getting notifications in projects that are very active. The user will still get their tasks in MyTasks and will at the same time get a more clutter free Inbox and easier see other tasks that require their attention.

Until/if Asana offers this, the best you can do is set the toggle:

Disable Notifications for Tasks Starting & Due Today
Stop receiving notifications in your Inbox for tasks starting or due today

in your Profile menu > My settings > Hacks dialog.