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Adds DistanceFromFirstKm to PacketPathBranch: the great-circle distance (haversine) between a branch's own Observer and First's Observer. Zero for First itself. Deliberately omitted when either side is positioned via Approx (a neighbor-centroid estimate) -- a distance computed against a guess isn't a real measurement worth surfacing. Rendered in the observer tooltip as "42.3 km away" alongside the elapsed-time label, giving a concrete sense of how far the flood physically reached, not just how many hops or how long it took. Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>