(b) In the case of a superintendent of schools, community superintendent or deputy, assistant, associate or other superintendent of schools who is not appointed for a fixed term, the contract provisions contained in paragraph (a) of this subdivision shall be deemed to apply to such superintendent immediately.
(c) In the case of a charter school, the contract of employment of the principal or headmaster or other chief school officer of the charter school that is entered into, amended or extended shall also be required to include the provisions contained in paragraph (a) of this subdivision. In addition, such contract provisions shall be deemed to apply immediately to any such person not appointed for a fixed term.