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We prove that the bicentralizer flow of a type $\\mathrm{III}_1$ factor is always ergodic. As a consequence, for any type $\\mathrm{III}_1$ factor $M$ and any $\\lambda \\in ]0,1]$, there exists an irreducible AFD type $\\mathrm{III}_\\lambda$ subfactor with expectation in $M$. Moreover, any type $\\mathrm{III}_1$ factor $M$ which satisfies $M \\cong M \\otimes R_\\lambda$ for some $\\lambda \\in ]0,1[$ has trivial bicentralizer. 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