In the rule Acronym, change

Set the current Acrotype to a publicly randomly selected Acrotype. Repeat this step if the selected Acrotype is the same as the Acrotype selected in the most recent Acrogenerate before this one.
Perform the Steps listed in the table that are associated with the current Acrotype, in the order in which they are listed for that Acrotype.

to read

Set the current Acrotype to be Secret, and then perform the Steps for that Arcotype, ignoring the result and repeating this step if the selected Acrotype is the same as the Acrotype selected in the most recent Acrogenerate before this one.