Batra, NipunNipunBatraColeppa, BaradhwajBaradhwajColeppaKhanna, AkshatAkshatKhannaRai, Santosh KumarSantosh KumarRaiSarkar, AgnivoAgnivoSarkar2025-09-042025-09-042025-07-012470-001010.1103/t5df-67whhttps://d8.irins.org/handle/IITG2025/30274One of the standard ways to study scenarios beyond the Standard Model involves extending the Higgs sector. This work examines the three Higgs doublet model (3HDM) in a type-Z or democratic setup, where each Higgs doublet couples exclusively to a specific type of fermion. The particle spectrum of the 3HDM includes four charged Higgs bosons, two 𝐶⁢𝑃-odd scalars, and three 𝐶⁢𝑃-even scalars. This work investigates the allowed mass and coupling parameter space in the type-Z 3HDM after imposing all theoretical and experimental constraints. We extract the allowed parameter space under three distinct alignment-limit conditions or mass hierarchies leveraging machine learning techniques. Specifically, we analyze scenarios where the 125 GeV Higgs is the lightest, an intermediary, or the heaviest 𝐶⁢𝑃-even Higgs boson. Our findings indicate that while a single lighter 𝐶⁢𝑃-even Higgs boson below 125 GeV still remains a possibility, the presence of two lighter Higgses is ruled out.en-USArticlehttps://doi.org/10.1103/t5df-67whhttps://v2.sherpa.ac.uk/id/publication/322642470-0029Article1123456789/432WOS:001543997000007