We study the three-body systems of $bar{K}^{(*)}B^{(*)}bar{B}^{(*)}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle $bar{K}^{(*)}$ interacts with the heavy bound states of $Bbar{B}$ ($B^*bar{B}^*$) forming the clusters. In terms of the very attractive $bar{K}^*B$ and $bar{K}^*B^*$ subsystems, which are constrained by the observed $B_{s1}(5830)$ and $B_{s2}^*(5840)$ states in experiment, we find two deep bound states, containing the hidden-bottom components, with masses $11002pm 63$ MeV and $11078pm 57$ MeV in the $bar{K}^*Bbar{B}$ and $bar{K}^*B^*bar{B}^*$ systems, respectively. The two corresponding states with higher masses of the above systems are also predicted. In addition, using the constrained two-body amplitudes of $bar{K}B^{(*)}$ and $bar{K}bar{B}^{(*)}$ via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body $bar{K}Bbar{B}$ and $bar{K}B^{*}bar{B}^*$ bound states.
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