Following the idea I had on discord https://discord.com/channels/280713822073913354/1168548474363576361/1168567464741851146

Lichess has a subdomain that when accessing the Kid Mod will always be activated even if the account does not have the kid mod activated

Many places (like schools) need to have control over what children access
Even on chess websites

But there is a problem, the child knows
You can log out of an account with kid mode activated and log in to one without kid mode

The schools' idea is to force the use of this subdomain (blocking access to the main l.org)
continuing if you want to be able to access lichess and with your own accounts, but being restricted in kid mode without being able to change

It's a similar idea to Google's Safe Search system and others
that network administrators force only SafeSearch to work