Autosomal Dominant Polycystic Kidney Disease (ADPKD) is the most common genetic cause of kidney disease that causes fluid-filled cysts to develop in the kidneys. The purpose of this study is to assess the safety and efficacy of ABBV-CLS-628 for the treatment of ADPKD in adult participants. ABBV-CLS-628 is an investigational drug being developed for the treatment of ADPKD. Participants are placed in 1 of 4 groups, called treatment arms. Each group receives a different treatment. There is a 1 in 4 chance that participants will be assigned to placebo. Around 240 adult participants with ADPKD will be enrolled at approximately 100 sites worldwide. Participants will receive IntraVenous ABBV-CLS-628 or placebo every 4 weeks for 92 weeks. Participants will be followed for up to 15 weeks. There may be higher treatment burden for participants in this trial compared to their standard of care . Participants will attend regular visits during the study at a hospital or clinic. The effect of the treatment will be checked by medical assessments, blood tests, checking for side effects and completing questionnaires.