This brief paper generalizes dark matter (DM) constraints recently derived in [A.E.Egorov, Phys. Rev. D 106, 023023 (2022)] by radio observations of M31 to all possible annihilation channels (except the cases of neutrinos and photons as primary annihilation products). All the methodology here exactly repeats that in the mentioned paper, where only two representative and popular annihilation channels -χχ → bb and χχ → τ + τ − -were considered. It is confirmed here, that in the case of light primary annihilation products χχ → τ + τ − , µ + µ − , gg, cc, uu, dd, ss, e + e − , bb (and an arbitrary combination of them) the fiducial (averaged over uncertainties) lower mass limit for the thermal weakly interacting massive particle (WIMP) is confined in the range ≈(40-70) GeV, which is bounded by χχ → bb, τ + τ − cases. Heavier WIMP, which can annihilate to W + W − , Z 0 Z 0 , tt, hh; can not be probed at the level of thermal cross section, unless one assumes the optimistic cases of DM density and magnetic field distributions in M31. In conclusion, mx 40 GeV represents the fiducial channel-independent mass limit for the thermal WIMP with the full uncertainty range estimated to be ≈(20-90) GeV.