AGH Space Systems stands as a student-driven organization situated within the AGH University of Krakow, Cracow, Poland. At present, the team is fully engrossed in the development of Poland’s first bi-liquid propellant rocket. Named the “Turbulence” rocket, its propulsion is entrusted to the one-of-a-kind Z4000 engine, utilizing ethanol and nitrous oxide as its propellants. Drawing from their adeptness in hybrid rocket technology, the team ingeniously devised the Z4000 propulsion system, distinguished by its $N_{2}O$ self-pressurization cycle, elegantly embodied through a piston-dependent pressure vessel solution. Additionally, the team incorporated a composite combustion chamber into the system’s architecture. These pioneering elements, among others, firmly position this nitrous oxide-powered demonstrator as a standout contender for prospective applications within the space industry.