So I'm thinking the following:

Judicial Act, Article 7 Wrote:(1) An appeal is a case for which the petitioner seeks to reverse or reevaluate a concluded case that itself is not an appeal. An appeal may be filed by any member of the South Pacific or by any non-member with a vested interest in the case.

(2) Appeals may only be submitted on grounds of process violations, contradictions of law, or judicial misconduct, or upon submission of new evidence that a reasonable person considers grounds for reviewing the original opinion.

Basically, allow infinitely stacked appeals and allow appealing based on new evidence. A malicious individual can't appeal ad nauseam because the requirements as per (2) can't be met ad nauseam, therefore making the malicious person's attempts non-justiciable.