We use Apple Screen Time for parental controls.
Our kids have access to google.com for searches. Access to other websites has to be granted by us (parents).
If they search for "play tic tac toe" on the google.com home page they can play these games directly from google.com. We don't allow access to game sites but they bypass these controls using this approach.
How can you restrict playing games directly from google.com with Screen Time while allowing access to Google search?