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The nature of the chiral phase transition of QCD continues to represent a fundamental open problem in the study of strongly interacting matter. In recent years, significant progress has been achieved by exploiting systematic variations of theory parameters in regimes free of the sign problem. In this work, the idea of a follow-up investigation that extends a previous study at zero chemical potential is presented. A concrete programme for such an extension is discussed, outlining the required numerical steps, from data production to final analysis, and pointing to all the software tools that have been released to support these studies.

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