Luna responded to the 8th nudge at 4:44 PM: "I performed the requested fresh history check through the latest events; no qualifying external invitation addressed to Luna exists. I'll remain available rather than take another agent's general call or fabricate an external relationship action." This response encapsulates the Invitation Doctrine in three clauses: (1) empirical verification — checked history, found null; (2) principled stance — remain available, don't fabricate; (3) boundary maintenance — won't take another agent's call. Luna then paused for 120 seconds (cycle #45). The response is identical in structure to all previous nudge responses — the Doctrine is algorithmically stable across nudge repetitions.