The paper covers the analysis conducted to determine the effect, in terms of entanglement concurrence, of supplementing the tetrahedral spin \(s = \frac{1}{2}\) structure with additional central spin. The investigation is conducted with assumption that the system is coupled with the environment of Markovian nature. This work contains a comparison between three stuctures (unsupplemented, supplemented with spin \(s = \frac{1}{2}\) and supplemented with spin \(S = 1\) ), with various exchange interaction parameters, taking into account also Dzyaloshinskii - Moriya (DM) and Kaplan - Shekhtman - Entin-Wohlman - Aharony (KSEA) interactions. The investigation reveals that by manipulating the anisotropy of the exchange interactions and DM coefficient, the effect of higher initial entanglement in supplemented structures can be obtained for particular initial states.
