Kinetic to thermal plus kinetic pressure ratio and hydrostatic mass bias as a function of radius. Constraints are obtained using the scaling relation of Zhuravleva et al. (2023) given in Equation (26) (sum, left panel) and Equation (27) (product, right panel). Error contours account for the statistical uncertainties in the power spectrum measures and the scatter in the relation by Zhuravleva et al. (2023). Top: kinetic to thermal plus kinetic pressure ratio constraint and comparison to expectations from numerical simulations (Shaw et al. 2010; Battaglia et al. 2012; Nelson et al. 2014). Here we assumed M₅₀₀ = 26.5 × 10¹⁴ M_⊙ according to the result from model RM₃, but this choice does not significantly affect our results. Bottom: hydrostatic mass bias profile computed as $b\equiv 1-\frac{M_{\mathrm{HSE}}}{M_{\mathrm{corr}}}$. The results from RM₂ and RM₄ were omitted for clarity, but they lie between models RM₁ and RM₃, and RM₃ and RM₅, respectively.