This paper proposes a non-singular replacement for the Schwarzschild black hole by modeling Sagittarius A* as a Bipolar Graviton Condensate. Unlike standard unipolar gravity, this framework introduces two distinct species—positive ($g^+$) and negative ($g^-$) graviton poles. The model demonstrates that the interaction between these single poles creates a self-stabilizing core: repulsion between like-species ($g^+/g^+$) prevents singular collapse, while attraction between opposite species ($g^+/g^-$) provides structural binding. Analysis of the effective potential reveals that for normalized coefficients ($A=1, B=1$), the system achieves a permanent, stable equilibrium at a radius of $r=1$, effectively eliminating the event horizon in favor of a physical, high-density surface.