Neutral alkaline earth(like) atoms have recently been employed in atomic arrays with individual readout, control, and high-fidelity Rydberg-mediated entanglement. This emerging platform offers a wide range of new quantum science applications that leverage the unique properties of such atoms: ultranarrow optical "clock" transitions and isolated nuclear spins. Specifically, these properties offer an optical qubit (o ) as well as ground (g ) and metastable (m ) nuclear spin qubits, all within a single atom. We consider experimentally realistic control of this omg architecture and its coupling to Rydberg states for entanglement generation, focusing specifically on ytterbium-171 (171Yb) with nuclear spin I =1/2 . We analyze the S -series Rydberg states of 171Yb, described by the three spin-1/2 constituents (two electrons and the nucleus). We confirm that the F =3/2 manifold, a unique spin configuration, is well suited for entangling nuclear spin qubits. Further, we analyze the F =1/2 series, described by two overlapping spin configurations, using a multichannel quantum defect theory. We study the multilevel dynamics of the nuclear spin states when driving the clock or Rydberg transition with Rabi frequency Ωc=2 π ×200 kHz or ΩR=2 π ×6 MHz , respectively, finding that a modest magnetic field (≈200 G ) and feasible laser polarization intensity purity (≲0.99 ) are sufficient for gate fidelities exceeding 0.99. We also study single-beam Raman rotations of the nuclear spin qubits and identify a "magic" linear polarization angle with respect to the magnetic field at which purely σx rotations are possible.