In this work we employ the Minimal Geometric Deformation (MGD) method to model a strange star within the context of Einstein-Gauss-Bonnet gravity. Starting off with the Tolman ansatz together with the MIT Bag model equation of state, anisotropy is introduced via the superposition of the seed source and the decoupled energy-momentum tensor. The solution of the governing systems of equations bifurcates into two distinct models, namely the mimicking of the $theta$ sector to the seed radial pressure and energy density, respectively. Each of these models can be interpreted as self-gravitating static, compact objects with the exterior described by the vacuum Boulware-Deser solution. Utilising observational data for three stellar candidates, viz., PSR J1614-2230, PSR J1903+317, and LMC X-4 we subject our solutions to rigorous viability tests based on regularity and stability. We find that the Einstein-Gauss-Bonnet parameter and the decoupling constant compete against each other for ensuring physically realizable stellar structures. The novel feature of work is the demonstration of stable compact objects with stellar masses in excess of $M= 2 M_{odot}$ without appealing to exotic matter.
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