<p>Non-stabilizerness is a key resource for fault-tolerant quantum computation, yet its interplay with entanglement in dynamical settings remains underexplored. We address this by analyzing a well-controlled, analytically tractable setup, where we show that entanglement acts as a conduit that teleports magic across the system, thereby enhancing magic injection. Using exact calculations, we prove that when a Haar-random unitary <i>U</i>_<i>A</i> is applied to a subsystem <i>A</i> of an entangled stabilizer state, the total injected magic increases with the amount of entanglement between <i>A</i> and its complement. More generally, for any unitary <i>U</i>_<i>A</i>, we show that this enhancement is maximized when <i>A</i> is maximally entangled with its complement, in which case the total injected magic is exactly given by the unitary stabilizer Rényi entropy we introduce. This quantity provides both a directly computable measure of unitary magic and a lower bound on the minimum number of <i>T</i> gates required to synthesize <i>U</i>_<i>A</i>. In particular, we show that the linear unitary stabilizer entropy gives a better estimate for the nonstabilizer content produced by <i>U</i>_<i>A</i> than the previously proposed notion of nonstabilizing power. We further extend our analysis to tripartite stabilizer entanglement, non-stabilizer entanglement, and magic injection via shallow-depth brickwork circuits, finding that the qualitative picture remains unchanged.</p>