(a) Within 30 days after public notice has been given of any action taken pursuant to delegated authority, the person, panel, or board taking the action may modify or set it aside on its own motion.

(b) Within 60 days after notice of any sanction imposed under delegated authority has been served on the person affected, the person, panel, or board which imposed the sanction may modify or set it aside on its own motion.

(c) Petitions for reconsideration and applications for review shall be directed to the actions as thus modified, and the time for filing such pleadings shall be computed from the date upon which public notice of the modified action is given or notice of the modified sanction is served on the person affected.