That first Sir Integra is from a timeline with some other paradox involved. Possibly the I-Jin Wells went for a different character’s ancestor. Or perhaps that timeline’s Integra is supposed to be Caucasian/half-Asian/half-African/something-other-than-half-Indian, and this is the result of her Caucasian/Asian/African/something-other-than-Indian mother’s father’s death.
Alucard: Sir Integra?
Integra: Sir Integra.
Fundamental: “Sir Integra”?
Integra #2: Also, General Integra.
Integra #3: And Countess Integra.
Vladcard: Every timeline that a paradox shreds dumps its residents here.
Fundamental: Wow! Two Akado!
Alucard: I see.
Alucard (thinking): Note to self: avoid the bearded look.