Assess a student's ability to design a novel finite element scheme for the incompressible Navier–Stokes equations on unstructured tetrahedral meshes and to rigorously analyze it. The task should require: specification of finite element spaces and discrete operators; a provable discrete energy stability estimate; demonstration of pressure-robustness (e.g., via divergence-free reconstructions or grad-robust modifications); verification of discrete inf-sup stability and consistency; derivation of optimal-order a priori error estimates for velocity and pressure in appropriate norms; discussion of implementation aspects on unstructured tetrahedra and computational complexity; and presentation of numerical experiments (benchmark flows, convergence studies) that corroborate theoretical results. Solutions must include full proofs, clear hypotheses, and comments on practical limitations and extensions.