OK. I know this is crazy:
What about a rule "to never bring something up again and this rule cannot be suspended or rescinded or amended nor have a bylaws amendment proposed on it"?
If they're in the bylaws, those rules would control. But if they're not, and with this adopted special rule of order, could the matter even be introduced in the form of a proposed bylaws amendment?
It appears your organization has rules which supersede the disciplinary procedures described in RONR. Ultimately it is up to your organization to interpret those rules.
So a rule could be adopted "to never bring something up again and this rule cannot be suspended or rescinded or amended". I can see how that may not be a good idea.
I think the new motion should be handled as a motion to rescind or amend the previously adopted motion. If adopted, the new motion would be in effect. I think it is appropriate for the chair to handle it this way if that is the intent of the new motion.
An adopted motion could be rescinded or amended using the motion to Rescind or Amend Something Previously Adopted. This motion requires a two-thirds vote, a majority vote with previous notice, or a vote of a majority of the entire membership.