InstaNotifyFilter offers notification filtering. It currently includes 2 options.
First one, will prevent Instagram from informing the user you are chatting with, that you have taken a screenshot or video recorded the media (stories) they sent you in DMs.
Second one, will remove all signs that a new DM has been received, no badges, no red signs, no banners.
Check more at:
Midkin.net
See larger Screenshots below..