Where the surface rights are held by a third party, the lessee shall not exercise the rights reserved by the state upon lands covered by the lessee's lease or contract until the lessee has provided the department with satisfactory evidence of compliance with the requirements of the state's mineral rights reservations. Where the surface rights are held by the state, the lessee shall not exercise its mineral rights upon lands covered by the lessee's lease or contract until the lessee has made satisfactory arrangements with the department to compensate the state for loss or damage to the state's surface rights.