This study delved into the integration of biomass gas and natural gas within a Combined Cooling, Heating, and Power (CCHP) system. A Semi-Isolated Green Energy CCHP (SIGE-CCHP) model was devised to scrutinize the performance of co-firing equipment across diverse optimization objectives, while manipulating the proportions of natural gas and biomass gas as inputs. Findings revealed that escalating the share of biomass gas led to a reduction in carbon emissions but triggered an escalation in operational and maintenance costs. However, at an optimal mixing ratio of 1:1, carbon emissions exhibited marginal increments, coupled with a substantial decrease in operational and maintenance expenses. Notably, when prioritizing operational and maintenance costs, the system exhibited optimal performance, resulting in a notable 26.76% cost reduction. Conversely, when prioritizing carbon emissions, the system metamorphosed into a carbon sequestration entity, with a maximal capacity to absorb 2021.86kg of carbon dioxide. This study furnishes theoretical underpinnings for optimizing the operation of co-firing equipment, augmented by a sensitivity analysis aimed at intuitively elucidating the repercussions of varying mixing ratios on the system.