Triangular lattice quasi-two-dimensional Mott insulators based on BEDT-TTF molecule and its analogies present the largest group of spin liquid candidates on triangular lattice. It was shown theoretically that spin liquid state in these materials can arize from a coupling to the fluctuating charge degree of freedom. In this work we discuss magnetic properties of one of such materials, $kappa$-(BEDT-TTF)$_2$Hg(SCN)$_2$Cl, which is known to be at the border of the phase transition from Mott insulator into a charge ordered state, and demonstrates charge order properties in the temperature range from 30 to 15~K. Our magnetic susceptibility and cantilever magnetisation measurements demonstrate an absence of spin order in this material down to 120~mK. We present arguments demonstrating that the charge order melting at low temperatures prevents ordering of spins.
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