This summary is not the rule. The rule text controls.
When someone challenges a property partition and the court agrees with them, either partly or fully, the court has to fix the problem. This means the original partition plan can't stay as it was written if a judge finds something wrong with it.
The court has two ways to correct the issue. It can fix the partition itself, or it can send the case back to a notary to write up a new, corrected partition document. This corrected document must follow whatever the judge decided when ruling on the challenge. The notary can be the same one who worked on the case before, or a different one.
This new corrected partition has to follow the same rules as the original partition process. That means the same steps and requirements that applied when the partition was first created also apply to this fixed version. In short, this rule makes sure that when a partition has a problem, there's a clear path to correct it properly instead of leaving the flawed partition in place.