"Admonition" is a word in LAW AND LEGAL, ENGLISH

In ecclesiastical law, this is the lightest form of punishment, con-slstlng in a reprimand and warning adinin-lstered by the judge to the defendant. If the latter does not obey the admonition, he may be more severely punished, as by suspension, etc

Gentle or friendly reproof; counseling against a fault
or error; expression of authoritative advice; friendly caution or
warning.