HVAC systems in hot climates face significant energy consumption challenges, necessitating strategies for efficiency improvements. This study introduces a computationally efficient integrated reduced-order modeling framework for assessing phase change material (PCM) thermal energy storage in HVAC systems, specifically comparing PCM integration at the evaporator or condenser components. The framework combines a building thermal resistance-capacitance 3R2C network, a vapor-compression R410a refrigeration thermodynamic cycle model, and PCM-air heat exchanger models. Experimental validation of the building 3R2C model in a test facility in Benguerir, Morocco, yielded a 99.3% correlation between predicted and measured thermal performance across multiple cycles in a hot semi-arid climate. The HVAC and PCM heat exchanger models were validated using existing experimental studies in literature. Afterwards, the models were strategically fitted for integration with a building 3R2C network in Python, enabling rapid annual simulations and quick parametric optimization. Yearly performance analysis revealed that PCM integration at the condenser side improves the system coefficient of performance COP by 22.7% and reduces compressor energy consumption by 12.5%. In contrast, evaporator-side PCM integration offers a 13.3% reduction in cooling energy through effective thermal load shifting while ensuring steady COP performance. These results help HVAC engineers and building designers to choose the best PCM integration strategy based for their specific needs, either by enhancing HVAC efficiency through condenserside integration or by managing energy use with evaporator-side solutions in hot climate applications.