What stages will the Binary star Sabik go through until the end of its life?
(Picture for reference)

Given what we know, as with any binary star system, the life cycle of these stars will end with one of them forming a white dwarf star, and the other becoming a red giant that will engulf the white dwarf.
Taking information from the diagram provided, we can infer that the star Sabik is in its white dwarf state at the current time. This means that before long, the remaining star in this binary system will become a red giant. When this happens, it will engulf star Sabik, and that will be the end of this star's life cycle.
Therefore, we can confirm that as with any binary star system, the life cycle of these stars will end with one of them forming a white dwarf star, and the other becoming a red giant that will engulf the white dwarf.
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