Currently the Aqua One can not see past Incognito mode due to Google's privacy policy. But there is a solution!
An alternative is you can use Google Family Link on Chrome to disabled Incognito mode for more peace of mind.
Open the Family Link app.
Select your child.
On the Settings card, tap Manage settings and then Filters on Google Chrome.
Tap Manage sites and then Approved or Blocked.
In the bottom right corner, tap Add an exception.
Add a website or domain.
In the top left, tap Close and your done!
To read more on what Google Family Link can do for your child, click here!