Composite Higgs theories often suffer from predicting light top partners, which are excluded by collider experiments. In the recently proposed SU(6) Gauge-Higgs Grand Unified Theory by Angelescu et al., where the Higgs boson emerges as a pseudo-Nambu Goldstone boson of the coset SU(6)/SU(5), the embedding of the elementary Standard-Model fermions naturally gives rise to additional vector-like exotic fermions. These “Mirror Fermions” cancel the contribution of the right-handed top quark to the Higgs potential at leading order. We show how this alleviates the problem of light top partners and reduces fine-tuning. As the cancellation is not unique to one fermion embedding we additionally offer a model-building recipe on how to incorporate such a cancellation in different scenarios.