In recent years, leveraging principles from condensed matter and high-energy physics has significantly advanced the engineering of laser systems. Chief among these concepts are topology, which enables the construction of robust zero-mode laser devices, and supersymmetry (SUSY), which holds the potential for achieving phase locking in laser arrays. In this work, we show that the relation between supersymmetric coupled bosonic and fermionic oscillators on one side, and bipartite networks (and hence chiral symmetry) on another side can be exploited together with non-Hermitian engineering for building one- and two-dimensional laser arrays with in-phase synchronization. To demonstrate our strategy, we present a concrete design starting from the celebrated Su-Schieffer-Heeger (SSH) model to arrive at a new SUSY laser structure that enjoys two key advantages over those reported in previous works, namely that the design parameters of the laser and reservoir feature near-uniform arrays which are of great importance for practical implementation, and a two-fold far-field intensity scaling. Not only do our results present a unification for the otherwise two distinct physical concepts of topology and SUSY, but also provide a roadmap for pushing the frontier of SUSY laser arrays beyond the proof-of-concept phase.