Gravity as an Emergent Coupling Operator: A Composite Graviton in Cl(6) x Cl(1,3)

We realize the gravitational vielbein of gauge theory gravity (GTG) as the vacuum expectation value of a coupling operator Gamma_B that lives in the tensor product Cl(6) x Cl(1,3). The operator carries grade (1,1) and twenty-four real components of elementary spin-1 content. Its condensate reproduces the flat vielbein and, through a coherent-state displacement of a single condensate component, the Doran-gauge Schwarzschild vielbein. The spin-2 graviton emerges as a composite of the spin-1 fluctuations of Gamma_B through the standard vierbein symmetrization. We establish a master vacuum-expectation-value theorem valid for any condensate direction, an exact reduction of the twenty-four fluctuation components to the two physical graviton polarizations, and the statement that the spin-2 projection of the composite graviton propagator equals that of the standard massless graviton. A structural obstruction in the QCD sector prevents the strong-interaction vacuum from sourcing the gravitational condensate. The construction sits on a flat Cl(1,3) background and yields, in the classical limit, the linearized vacuum field equations of Lasenby, Doran, and Gull (1998).