Key radii as a function of the planet mass. The dashed orange line indicates the location where q > q_th for the first time, while the purple dash-dotted line shows the location where q > q_max for the first time. The solid green line indicates the surface of the supercritical magma ocean, and the dotted pink line the radius of the planet without the supercritical magma ocean. For planets with M_pl ≥ 0.75 M_⊕, the accretion heating from the incoming pebbles is released at the surface of this supercritical magma ocean. The feature between 2.1 M_⊕ and 2.5 M_⊕ in R_crit and is due to slight discontinuities in the solution, caused by the finite numerical grid.