The gold-standard recovery models for accelerated multi-contrast MRI either involve volumetric or cross-sectional processing. Volumetric models offer elevated capture of global context, but may yield suboptimal training due to expanded model complexity. Cross-sectional models demonstrate improved training with reduced complexity, yet may suffer from loss of global consistency in the longitudinal dimension. We propose a novel progressively volumetrized generative model (ProvoGAN) for contextual learning of image recovery in accelerated multi-contrast MRI. ProvoGAN empowers capture of global and local context while maintaining lower model complexity by performing aimed volumetric mappings via a cascade of cross-sectional mappings task-optimally ordered across rectilinear orientations.