Scheme of the method we use in this paper to extract the tSZ signal. The input of the sky model is template maps coming from the Websky simulations and PySM. The sky model processes them to produce maps of the different sky components at a given frequency, sensitivity, and beam. This set of multi-frequency maps {M_i1, …, M_in} was smoothed to a common resolution and tessellated, and the Compton-y signal was extracted by the ILC. The PyMaster algorithm was used on the resulting masked map to extract the power spectrum.