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Using a sample of $1.06\times10^8$ $\psi^\prime$ mesons collected with the BESIII detector at the BEPCII $e^+e^-$ collider and $\chi_{cJ}$ mesons produced via radiative transitions from the $\psi^\prime$, we report the first observation for $\psi^\prime\to \bar{p}K^+\Sigma^0 +c.c.$ (charge-conjugate), as well as improved measurements for the $\chi_{cJ}$ hyperon decays $\chi_{cJ}\to\bar{p}K^+\Lambda+c.c.$. The branching …