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Subsequently, these results are utilized to prove some additive properties of g$n$s (p$n$s)-Drazin inverse in a Banach algebra. This process produces a generalization of some recent results of H Chen, M Sheibani (Linear and Multilinear Algebra \\textbf{70.1} (2022): 53-65) for g$n$s and p$n$s-Drazin inverse. 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