This is a 28-week, multi-center, randomized, double-blind, placebo-controlled, parallel-group study to investigate the efficacy, safety, and tolerability of four different once-weekly MET097 dosing regimens vs. placebo for body weight loss in adults (18-75 years of age) with obesity or overweight (body mass index \[BMI\] ≥27 to ≤50 kg/m2) and T2DM . After completing 28 weeks of study treatment, all participants will be followed for approximately 11 weeks after administration of the last dose of study treatment.