  A large amount of data on hadronic two body weak decays of anti-triplet
charmed baryons $T_{c\bar 3}$ to an octet baryon $T_8$ and an octet or singlet
pseudoscalar meson $P$, $T_{c \bar 3} \to T_8 P$, have been measured. The SU(3)
flavor symmetry has been applied to study these decays to obtain insights about
weak interactions for charm physics. However not all such decays needed to
determine the SU(3) irreducible amplitudes have been measured forbidding a
complete global analysis. Previously, it has been shown that data from measured
decays can be used to do a global fit to determine all except one parity
violating and one parity conserving amplitudes of the relevant SU(3)
irreducible amplitudes causing 8 hadronic two body weak decay channels
involving $\Xi^0_c$ to $\eta$ or $\eta'$ transitions undetermined. It is
important to obtain information about these decays in order to guide
experimental searches. In this work using newly measured decay modes by BESIII
and Belle in 2022, we carry out a global analysis and parameterize the unknown
amplitudes to provide the ranges for the branching ratios of the 8 undetermined
decays. Our results indicate that the SU(3) flavor symmetry can explain the
measured data exceptionally well, with a remarkable minimal $\chi^2/d.o.f.$ of
1.21 and predict 80 observables in 45 decays for future experimental data to
test. We then vary the unknown SU(3) amplitudes to obtain the allowed range of
branching ratios for the 8 undetermined decays. We find that some of them are
within reach of near future experimental capabilities. We urge our experimental
colleagues to carry out related searches.
