Dark matter is still a subject of ongoing debate. It has been considered in the theoretical description of compact objects such as neutron stars with cores of very dense matter. Various candidates for dark matter have been proposed in the scientific literature. Among them, the sexaquark has been identified as a potential boson particle that can form in the neutron star material based on its mass properties. We investigate the viability of the sexquark as a candidate for dark matter, especially under certain density conditions. Addressing the challenges associated with the formation of a boson particle in a highly dense medium without compromising the stability of the neutron star. A direct linear mass change for the sexaquark in the hadronic equation of state. It was observed that including the sexaquark as a dark matter candidate in the hadronic matter equation of state, although it has a repulsive interaction with the baryonic matter, softens the equation of state. We assume that the interaction strength of dark matter with baryonic matter increases linearly with the baryon density. We observe that the increase in the effective mass of the Sexaquark as a result of the increase in its vacuum mass causes the equation of state to become stiffer compared to the constant mass state. We determine lower and upper mass limits for this bosonic dark matter based on observational limits for neutron stars in the DD2Y-T model, when a quark-matter phase-to-phase transition is used. Dark matter, neutron star, equation of state, relativistic mean field, phase transition, sexquark.