Geothermal energy has undoubtedly been considered a promising low-carbon resource in future energy supply responding to the rising energy demand and severe climate concerns. CO2 has been demonstrated as a comparable alternative for water in developing an Enhanced geothermal system (EGS), which simultaneously unlocks the potential to sequester CO2 against climate concerns. However, an earlier thermal breakthrough is always observed owing to higher mobility in geothermal reservoirs for CO2-EGS, and an expensive cost of CO2 consumption makes CO2-EGS challenging to achieve economic profitability. In this study, a novel CO2-water-EGS is proposed to investigate the feasibility of solving the obstacles in conventional EGSs. An integrated analysis for multiple EGS scenarios is carried out from both the technical and economic perspectives. The effects of a CO2-water ratio, an injection rate and a flow scheme are comprehended. Followed by the determination of an optimal operating strategy. In the results, by reasonably selecting a CO2 mass ratio and an injection rate, CO2-water-EGS can recover more geothermal energy and earn more profits than water-EGS and CO2-EGS. The injection rate shows positive correlations to heat mining, carbon storage, and economic performance, while the impact of a flow scheme is negligible when the total volume of injected fluids remains consistent. From the optimization study, the CO2-water-EGS with the 110 kg/s injection rate and 20%wt CO2 ratio shows the highest Net Present Value (NPV) of 42.4 M$. This study proposes theoretical guidance to operators in their decision-making processes on the development of CO2-water-EGS.