Question

are centripetal and centrifugal forces considered to be action-reaction forces?
consider a mass m tied to a string centripetal force is provided by the string on to the mass m while centrifugal force acts on string by the mass m
drwing a free body diagram of the mass m i can say the forces acting on it are:
mg
tension pulling it inwards
but actually as the mass m is attached to the string,wont the centrifugal force given by the mass on the string also affect it?(that is act on it?)
as mass m and string are joined to each other?