Same as right column of Fig. 3 (top left here), showing the effect of varying several parameters that are inputted in our toy model. The top right assumes a smaller initial embryo mass, bottom left presents the case where the pebble flux is decreased by a factor of 10 and bottom right panel shows what happens if the embryo is inserted in the class 0 phase. Although the absolute value of the disk fractions with a gap at ≥ 10 au varies significantly depending on our assumptions, the difference between the case where we consider consider the temperature effects and the case where we do not (the green and pink lines) remains a factor of ≳2.