Do religious schools violate the separation of church and state?

I know there usually private schools.

Im wondering, if they make laws based on the bible, if they use corporal punishment, if they teach kids controversial ideas, are they legally allowed to do that if they say the bible endorses it or its a part of there specific faith denomination and there saying that they are trying to do good for there kid?

Do religious schools violate the separation of church and state?
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