beads: extract the projection out of web/ web/beads.go held the one reading of the beads schema — the table fingerprint, the lane bucketing, the ready rule, the status categories, the transitive dependency walk, the event humanizer, the filter model and the milestone rollup — where a second consumer could not reach it. The MCP surface and the cross-database ready page both need it. Move it to a new root package beads/ that depends on browse/ and the standard library only: rows in, view model out, no net/http, no html/template, no core. The BrowseSession seam is declared consumer-side there and names the one method the projections call, so web's larger BrowseSession satisfies it structurally and a session passes straight through. web/beads.go and web/milestones.go keep only their View adapters — slug, label, template, Applies, and the hand-off of ref and query. The templates are unchanged: the moved types keep their names and their display methods, so every dot still resolves. Pure move plus the beadsMax -> beads.Max export rename. The projection tests move with the code and become testify; the render tests stay in web/ unchanged. Same 63 tests pass before and after.