Evaluation of the Tolerability of Cagrilintide in Participants Not Tolerating GLP-1-RA Therapies Due to Gastrointestinal Adverse Events

Key Inclusion Criteria: * Male or female (sex at birth) * Age 18 years or above at the time of signing the informed consent * History of documented treatment with GLP-1-RA medications with gastrointestinal (GI) adverse effects as the main reason for treatment discontinuation * Not suitable for re-initiation of GLP-1-RA treatment based on medical history and investigator judgement * Body mass index (BMI) greater than or equal to (≥) 30.0 kilograms per square meter (kg/m\^2) Key Exclusion Criteria: * Female who is pregnant, breast-feeding, or intends to become pregnant or is of childbearing potential and not using highly effective contraceptive methods * Treatment with GLP-1 receptor agonist or GLP-1-RA medication for any indication within 8 weeks before screening * History of type 1 or type 2 diabetes * Glycated haemoglobin (HbA1c) ≥ 6.5 percent (%) (48 millimole per mole \[mmol/mol\]) as measured by the central laboratory at screening * Treatment with glucose-lowering agent(s) prescribed for the indication of diabetes or pre-diabetes within 90 days before screening * Treatment with any medication prescribed for the indication of weight management within 8 weeks before screening