Joint X-ray and tSZ observations constrain CGM pressure: log₁₀ L_X,CGM vs. log₁₀ ﹩{\tilde{Y}}_{200}﹩ for an MW-mass halo at z = 0.08 (M_200,12 = 1.26), here normalized to the integral of the best-fit MW-mass XSB profile of Z24a between 0.5R₂₀₀ and 1R₂₀₀ (≈100–200 kpc) and to our ﹩{\tilde{Y}}_{200}﹩ predictions for a P_CR-dominated halo (Equation (5)), respectively. The L_X prediction for a P_CR-dominated halo (green diamond) with ﹩{\dot{E}}_{40}=0.66,\,{v}_{100}=1﹩ lies close to the Z24a best-fit value, while in agreement with the tSZ upper limit at M_200,12 = 1.25−2.59 from S. Das et al. (2025; black triangle), while the P_th-dominated halo (purple circle) is over 1 dex too high in ﹩{\tilde{Y}}_{{\rm{200}}}﹩. Varying n_gas or T_gas (purple dashed and solid lines) necessarily moves P_th-dominated predictions in the wrong directions relative to the observational constraints, whereas changing P_CR or P_gas (green dotted and solid annotations) moves P_CR-dominated model predictions in orthogonal directions in this plane, allowing for models to meet observational constraints.