Simulation “GRG_lp_min” (low-powered jet propagating along the minor axis of the environment) showcasing the structure of the evolved GRG at the highlighted age. Top-left panel: x − y variation of (ρ/ρ₀), accompanied by contours of velocity (0.1c for white, 0.01c for black). Top-right panel: Tracer distribution showing regions with jet material and their associated fraction. The highest color bar value indicates a grid cell completely filled with jet material (flipped for better visualization), and the contours represent the same velocities as earlier. Bottom-left panel: Three-dimensional representation of (ρ/ρ₀) of the lobe, providing finer details with an extra dimension. Bottom-right panel: Contours of pressure values (P_lobe/P₀) indicating a minimal variation inside the cocoon (flipped for better visualization). The cocoon also appears to be overpressured compared to the ambient medium, as indicated by the ratio above the subplot. Here, ρ₀ = 0.001 amu/cc, P₀ = 1.5 × 10⁻⁶ dyn/cm², and length is represented compared to L₀ = 100 kpc. Details are given in Sect. 3.1.1.