AMAZE 3: A Research Study Investigating How Well the Medicine NNC0487-0111 Helps People With Excess Body Weight and Obstructive Sleep Apnoea Not Treated With Positive Airway Pressure Lose Weight and Improve Sleep Apnoea

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