The exploration of the Higgs boson's properties and its interactions with top quarks constitutes a pivotal aspect of the post-Higgs discovery era. Among these, the measurement of the associated production of a Higgs boson with a pair of top quarks ($t\mkern+1.0mu \bar{\mkern-1mu t} H$) offers a unique window into the Yukawa coupling between the Higgs and the top quark, the heaviest known fundamental particle. These proceedings present the latest results on $t\mkern+1.0mu \bar{\mkern-1mu t} H$ production with the Higgs boson decaying into a pair of bottom quarks ($H\rightarrow b\bar{b}$), performed by the ATLAS collaboration. A key focus is placed on the improved MVA strategy, which incorporates permutation-invariant architectures utilising attention mechanisms, for enhancements in both multi-class classification of signal and background events, and Higgs candidate reconstruction.