**Study Overview:** This study tests a new medicine called **KAI-7535** to see if it helps people lose weight safely. Participants will be given either KAI-7535 or a placebo (a pill with no medicine) once a day. People in this study include those who are overweight or have obesity, and have at least one other health issue related to weight, like high blood pressure or sleep problems. It’s important to know that people with or without type 2 diabetes can join, but certain health conditions might make someone ineligible. **Key Points:** - **Duration & Visits:** The study involves monitoring over a period of time with scheduled visits. - **Compensation:** Participants may receive compensation for their time and travel. - **Risks:** People with certain health conditions, like uncontrolled high blood pressure or recent severe depression, may not qualify due to potential risks. **Eligibility:** Your Body Mass Index (BMI) must be 27 or higher with a health issue like hypertension. If you have type 2 diabetes, you must be stable on your current diabetes treatment. Participants need to be stable in weight and not have started certain medications recently that affect weight.