Vortices provide elementary quanta of rotation in superfluids, superconductors, and optics. In the latter case, such vortices are relevant to the encoding of arbitrary quantized angular momentum for both fiber and free-air communications, data elaboration, gyroscopes, and medical tools, and play a prominent role as building blocks in the field of structured light. Differently from the synthetic generation of arbitrary wave shaping, here we exploit the natural assets of open-dissipative exciton-polariton fluids to set into ultrafast motion a doubly-charged vortex, which also results in the time-varying orbital angular momentum of emitted light. The created topology comprises all the possible polariton pseudospins, with each state appearing twice in real space where the Bloch sphere is conformally mapped, with the orthogonality between the parallels and meridians preserved. The density of the sphere metric lines is described by the Berry curvature which is reshaping in time, but always keeps a space integral of twice the solid angle. This confirms that the spiraling motion of the two observable photonic vortex cores is due to the creation of a dynamical full Bloch beam and its evolving metric.