Flowchart of our procedure for calculating the accreted gas when the planet is embedded in the disc (left). We also show our method for calculating the rate of contraction after disc dissipation (right). The orange boxes show the input parameters going into each calculation. The main loops are shown as solid arrows in their respective colors. The dashed arrow indicates that we check if the calculated Δt is within the allowed range and repeat the step with a new ΔM_tot if it is not. The dotted arrow shows the transition from the embedded case to the isolated case after disc dissipation.