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Critical behaviour study in magnetism is important owing to its applicationfor understanding the nature of underlying spin-spin interactions bydetermining the critical parameters in the vicinity of a phase transition. Inthis article, we report the novel manifestation of crossover behaviour betweentwo universality classes governing spin interaction across the ferromagneticCurie temperature $T_C$ in critical scaling of anomalous hall conductivityisotherms for a skyrmion-hosting itinerant ferromagnetCo$_{6.5}$Ru$_{1.5}$Zn$_{8}$Mn$_4$. Along with the magnetotransport scaling,the traditional critical behaviour of magnetic isotherms yields $\beta$ = 0.423$\pm$ 0.004, $\gamma$ = 1.08 $\pm$ 0.016, and $\delta$ = 3.553 $\pm$ 0.009suggesting the 3D Heisenberg and Mean field type of spin interactions below andabove $T_C$, respectively. The isotropic magnetic exchange strength decays as$J(r) \approx r^{ -4.617}$, implying the prevalence of crossover fromlong-range ordering to short-range type interaction. In addition, the existenceof a fluctuation-disordered magnetic phase immediately below $T_C$ has beenobserved in the magnetocaloric effect. The novel approach of generating alow-field phase diagram employing the quantitative criterion of phasetransition from the scaling of isothermal magneto-entropic change shows anexcellent convergence with the phase boundaries obtained from conventionalmagnetic and anomalous Hall conductivity scaling. This simultaneous scaling ofmagnetization and AHC isotherms for systems with crossover behaviourestablishes the universality of the magnetotransport-based critical scalingapproach which still remains in its infancy.

Critical Analysis of Skyrmionic Material  Co$_{6.5}$Ru$_{1.5}$Zn$_8$Mn$_4$: a complex interplay of short and long-range  interactions around the transition temperature