This study will look at whether a reduced-calorie Mediterranean-style eating plan, together with a synbiotic supplement, can improve health measures and quality of life in women who have polycystic ovary syndrome (PCOS) and are overweight or have obesity. Participants will be assigned by chance (like flipping a coin) to receive either the synbiotic supplement or a placebo (a look-alike product with no active ingredients). All participants will follow the same reduced-calorie Mediterranean diet for 8 weeks. The study team will measure body composition and weight-related measurements, and will collect blood samples to evaluate selected laboratory markers before and after the 8-week period. Participants will also complete the PCOSQ-50 quality-of-life questionnaire before and after the intervention. The goal is to better understand the possible role of synbiotic supplementation alongside dietary treatment in PCOS.