I have a Google Pixel 3 XL.
You can do it this way:
- go to Settings
- click Apps & Notifications
- find and click on Chrome
- click on Notifications
- and uncheck Incognito
This will have the effect of deactivating any Incognito
notifications that may occur until you check Incognito back.
- do steps 1 to 4
- Click on Incognito
- Click on Behaviour
- And choose Show silently and minimise
This will have the effect of displaying the notification when your
phone is unlock, but you won't see the text only the little man with a
hat icon thingy. On the other hand, on the lock screen you will see
nothing at ALL, not even the icon thingy.
In conclusion, I thought bringing this answer up was necessary because previously given options may deactivate important notifications you may not want to miss. My solution brings an alternative, though it only works on devices that support Android 8.0 and above. (Kudos to @Firelord for pointing that out)