You have anthropomorphize Tet.
From what little we were presented, Tet could be an artificial intelligence that cannot adapt well to scenarios outside of its programming. That is, scanning is not the same as seeing. Digital sensitivity is not the same as nuanced photonic optics.
Jack's and Vika's DNA info are well-integrated into the Tet's mission. Every other life-form is considered disposable and not worth further resources to investigate. Thus, Julia and Beech are indistinguishable miscellania.
The Tet's 'attitude' is quite similar to what was encountered in The Terminator. The Connor pair of mother and son were the only ones of consequence. Everyone else was disposable and dispatched summarily.
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Est modus in rebus sunt certi denique fines quos ultra citraque nequit consistere rectum Goldilocks
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