Diagnostic diagrams showing the evolution of stellar parameters for four binary models selected based on their final orbital period. Panel a: Relationship between effective temperature and surface gravity, with horizontal and vertical dashed lines indicating the observational constraints for BLAP (red: log T_eff range; dark blue: log(g/cm s⁻²) = 4.5). Panel b: Correlation between effective temperature and pulsation period. The horizontal and vertical dashed lines mark the observed BLAP temperature range (red) and the target pulsation period of 32.27 minutes (dark blue), respectively.