feat: integrate operations dashboard summaries

.trellis/tasks/07-02-operations-dashboard-integration/design.md

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+# Operations Dashboard Integration Design
+
+## Summary
+
+Upgrade the dashboard into a cross-module operations summary now that health, care, emergency, elder, bed, and admission data are persisted.
+
+## Data Boundary
+
+The dashboard remains a Server Component:
+
+- elder/bed/admission data from `modules/core/server/operations.ts`
+- health data from `listHealthAdminData`
+- care data from `listCareExecutionData`
+- emergency data from `listEmergencyIncidentData`
+
+Load optional module data only when the viewer has the corresponding read permission. Do not fabricate metrics when permission or data is absent.
+
+## UI Boundary
+
+`DashboardHome` stays presentational. It receives:
+
+- primary metrics
+- bed occupancy chart data
+- recent admissions
+- work queues for health, care, and emergency
+
+Dashboard items should link into modules:
+
+- health reviews -> `/settings/health`
+- care tasks -> `/care`
+- emergency events -> `/emergency`
+- admissions -> `/beds`
+
+The dashboard is not a mutation surface.
+
+## Compatibility
+
+- Existing bed occupancy chart remains data-backed.
+- Existing admission list remains data-backed.
+- Top badge-style tag should be removed to match the module cleanup direction.