Run-as-First-Class-Operation — Pair Pack-Runner with Prompt-Template-Manager, Make Runs Legible Across the Pipeline

Two coupled fixes that came out of the 2026-05-25 smoke against the foundation dataset. **First**, pair the Pack Runner remote with Prompt-Template-Manager in co-existence mode — they are the two ways to enrich a record set (custom LLM prompt vs source-bound pack), so they belong in one viewport with a draggable seam. **Second**, lift `Run` from a string id buried on each ResponseRecord into a first-class entity in response-store, so Response Reviewer (and Pack Runner, and every future surface) can see what batch of work produced the responses it's looking at — what prompt or packs fired, against which rows, with what aggregates, when. The pair is a one-line PAIRINGS entry. The Run lift is a small new service surface plus four UI touches; it pays for itself the moment a bundle wants live progress without inventing new infrastructure.