Accreted mass (the color bar) as a function of the initial orbital period and initial mass of He-rich stars. Cross: Initial Overflow; square: Case BA; triangle: Case BB; diamond: Case BC); circle: No mass transfer (MT). Left panel: high-spin prior (NS mass m₁ = 2.02 M_⊙), right panel: low-spin prior (NS mass m₁ = 1.74 M_⊙). We mark the parameter space of Case BB and Case BC with light and dark grey backgrounds, respectively.