AMAZE 4: A Research Study Investigating How Well the Medicine NNC0487-0111 Helps People With Excess Body Weight and Obstructive Sleep Apnoea Treated With Positive Airway Pressure Lose Weight and Improve Sleep Apnoea

This study is being done to look at the efficacy and safety of NNC0487-0111 in participants with overweight or obesity, and obstructive sleep apnoea treated with positive airway pressure. There are 2 study treatments in this study taken as injections under the skin once a week. Participants will either get NNC0487-0111, (the treatment being tested) or Placebo (a treatment that has no active medicine in it) and which treatment participants get is decided by chance.

Key Inclusion Criteria: * Male or female (sex at birth) * Age 18 years or above at the time of signing informed consent * Previously diagnosed moderate-to-severe OSA with an AHI ≥ 15, as diagnosed with polysomnography (PSG), home sleep apnoea test (HSAT), or other method that meets local guidelines prior to screening Key Exclusion Criteria: * Glycated haemoglobin (HbA1c) ≥ 6.5% (48 mmol/mol) as measured by the central laboratory at screening * History of type 1 or type 2 diabetes mellitus as declared by the participant or reported in the medical records * Any planned or previous surgery within 90 days prior to screening for sleep apnoea, including septoplasty, turbinoplasty, or other ear, nose, and throat surgeries, including tonsillectomy and adenoidectomy * Significant craniofacial abnormalities that may affect breathing at baseline, for example Treacher Collins syndrome and Pierre Robin Sequence * Treatment with glucagon-like-peptide-1 (GLP-1) receptor agonist (RA), dual GLP-1/gastric inhibitory peptide (GIP) RAs (or any other GLP-1 based treatment) or amylin analogues before screening