Metabolic Interventions (Time-Restricted Eating, GLP1 Receptor Agonist, and Heart Healthy Diet) to Improve Cardiometabolic Health in Prostate Cancer Patients During Androgen Deprivation Therapy, IMPACT-ADT Trial

Inclusion Criteria: * Documented informed consent of the participant * English, Spanish or Mandarin-speaking * Agreement to allow the use of archival tissue from diagnostic tumor biopsies * If unavailable, exceptions may be granted with study principal investigator (PI) approval * Male * Aged: 30-79 * Eastern Cooperative Oncology Group (ECOG) 0-2 * High burden of cardiovascular comorbidities who would be eligible for insurance coverage for GLP1-RA therapy defined as: * Body mass index (BMI) of ≥ 30 kg/m\^2 or * BMI ≥ 27 kg/m\^2 in the presence of at least one weight-related comorbid condition (e.g. hypertension, type 2 diabetes mellitus, dyslipidemia) * Prostate cancer defined as one of the following: * National Comprehensive Cancer Network (NCCN) intermediate risk prostate cancer receiving definitive radiation with a plan to undergo ADT for 6 months * Biochemical persistent or recurrent prostate cancer status post prostatectomy receiving salvage radiation with a plan to undergo ADT for 6 months Exclusion Criteria: * Currently engaging in strict macronutrient/time limited diet, including ketogenic, low-carb, paleo, or warrior diet * Currently under GLP1-RA therapy * Poorly controlled diabetes * Unable to undergo time-restricted diet * Contraindications for GLP1-RA therapy: including hypersensitivity to the drug, personal history of pancreatitis, personal or family history of medullary thyroid cancer or multiple endocrine neoplasia syndrome type 2, end-stage renal disease * Other active disease deemed not eligible to participant in the study according to treating physician * Prospective participants who, in the opinion of the investigator, may not be able to comply with all study procedures (including compliance issues related to feasibility/logistics)