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A comprehensive study of the angular distributions in the bottom-baryon decays (Formula presented), followed by (Formula presented) with (Formula presented) or (Formula presented) decays, is performed using a data sample of proton-proton collisions corresponding to an integrated luminosity of (Formula presented) collected by the LHCb experiment at center-of-mass energies of 7, 8, and 13 TeV. The decay parameters and the associated charge-parity ((Formula presented)) asymmetries are measured, with no significant (Formula presented) violation observed. For the first time, the (Formula presented) decay parameters are measured. The most precise measurements of the decay parameters (Formula presented), (Formula presented), and (Formula presented) are obtained for (Formula presented) decays and an independent measurement of the decay parameters for the strange-baryon (Formula presented) decay is provided. The results deepen our understanding of weak decay dynamics in baryon decays.