noted [15], we believe one key reason why superconductivity in Sr\({}_{2}\)RuO\({}_{4}\) seems so difficult to explain stems from the inability of theoretical schemes to calculate all possible two-particle instabilities in the normal phase. This is particularly difficult to accomplish in a parameter-free fashion. The instability analysis we use allows for possible competing phases in an unbiased manner. Further, because the theory is both ab initio and has very high fidelity, it has unprecedented predictive power [17, 19, 20, 21, 22]. In this way, we are able to circumvent the difficulties [PERSON] et al. noted. Our ab initio approach starts from a one-particle Hamiltonian calculated from the quasiparticle self-consistent \(GW\)(QSGW) approximation [23]. It plays the role of DFT as a bath for the many-body problem to be embedded in, but its fidelity is vastly superior. The one-particle Green's function is generated from dynamical mean field theory (DMFT) [24], using QS\(GW\) as a bath. This is accomplished with a continuous-time quantum Monte Carlo (CTQMC) solver [25, 26]. This framework [20, 27] is extended by computing the local vertex from the two-particle Green's function by DMFT [28, 29], which is combined with nonlocal bubble diagrams to construct a Bethe-Salpeter equation [17; 21]. The latter is solved to yield the essential two-particle spin and charge susceptibilities \(\chi^{d}\) and \(\chi^{m}\)--physical observables that provide an important benchmark. Moreover, they supply the ingredients needed for the Eliashberg equation, which yields eigenvalues and eigenfunctions that describe instabilities to superconductivity in both singlet and triplet channels. We will denote QSGW\({}^{++}\) as the shorthand for the four-tier QSGW+DMFT+Bethe-Salpeter equation (BSE)+ Eliashberg theory. The numerical implementation was discussed by [PERSON] et al. [18], and codes are available on the open source electron structure suite Questaal [30]. QSGW\({}^{++}\) has high fidelity because QSGW captures non-local dynamic correlation particularly well in the charge channel [18; 31], but it cannot adequately capture the effects of spin fluctuations. DMFT does an excellent job at the latter, which are strong, but mostly controlled by a local effective interaction given by \(U\) and \(J\). For Sr\({}_{2}\)RuO\({}_{4}\) in particular, the QSGW Fermi surface is practically indistinguishable from a recent high-resolution ARPESmeasurement [32], and the spin susceptibility is in excellent agreement with inelastic neutron scattering (INS) measurements [17] (measured only for the unstrained case when this work was published). The present work reviews this prior study [17], which was our first attempt to use instability analysis with the full machinery of QSGW\({}^{++}\). It computed spin, charge and superconducting susceptibilities resolved in both energy and momenta and both in the singlet and triplet channels. We showed how the singlet instability increases under strain, while the triplet one does not, and explained why T\({}_{c}\) increases. Here, we extend that initial work to include wider excursion in strain to emphasize the trends and provide a more detailed description of the connection between the single-particle and two-particle properties.