Time evolution of the mass of the core and the envelope mass of the planet considering the pebble isolation masses given by Ataiee et al. (2018), compared to the fiducial case where we adopt the pebble isolation masses from Lambrechts et al. (2014). representsthe pebble isolation mass estimated from pure gas hydrodynamical simulations, while also takes into account the dust filtration across the partial gap due to dust diffusion.