safari stuck in safe mode moderate cannot turnoff safe search

I am at a loss to understand "moderate viewing mode" which has no defined meaning to Safari, but I surmise you are being prohibited from doing something with it, despite verifying something by clicking "con off" ... which I don't understand either.

Is it possible that your iPad is managed or "supervised" by an institution such as a business or school? Read MDM restrictions for iPhone and iPad devices - Apple Support.

Are you using a VPN? Don't.

Perhaps the following offers something useful: Customize your Safari settings on iPhone - Apple Support

I understand you are experiencing some kind of problem with Safari, but it would help if you were to explain your concern in greater detail.

Writing an effective Apple Support Communities Question - Apple Community

Generally speaking if you are having trouble with Safari and would like to clear its history and / or saved website data, the following Apple Support documents are applicable:

Clear the history and cookies from Safari on your iPhone, iPad, or iPod touch - Apple Support

Customize your Safari settings on iPad - Apple Support