A Syllogism critiquing gender theory

P1: Entia non sunt multiplicanda praeter necessitatem (Ockham’s Razor)

P2: principium rationis sufficientis cognoscendi (Principle of Sufficient Reason)

P3: There exist distinct categories of men and women

P4: the concept of sex (from biology) is an entity that sufficiently explains the distinction between men and women

C1: Biological sex is the best explanation for the categories of men and women

P5: Gender theory introduces the entities of genders in addition to sex

C2: Gender theory must not be accepted for it’s unnecessary multiplication of entities

P6: The claim that biological sex is not sufficient because of intersex conditions introduces an entity unnecessary, since these conditions may be explained within the dichotomy of sex, understood as disorders of sexual development

C3: It must not be accepted that the intersex category renders the sex binary insufficient.

Do you think this works, philosophically?