WP-0004: ecosystem integration complete

Add Helix Forge correlation (HELIX_SESSION_UID env, metrics correlate),
artifact-store publish (metrics publish), activity-core ActivityDefinition
references, integration patterns docs, and canon/knowledge design artifacts.

docs/integrations/activity-definitions/weekly-metrics-optimize.md

@@ -0,0 +1,44 @@
+---
+id: kaizen-weekly-metrics-optimize
+name: Weekly Kaizen Metrics Optimization
+enabled: false
+owner: kaizen-agentic
+governance: custodian
+status: proposed
+trigger:
+  type: cron
+  cron_expression: "0 8 * * 1"
+  timezone: Europe/Berlin
+  misfire_policy: skip
+context_sources:
+  - type: shell
+    query: discover_kaizen_projects
+    params:
+      marker: .kaizen/metrics
+    bind_to: context.projects
+---
+
+# Weekly Kaizen Metrics Optimization
+
+Runs every Monday 08:00 Berlin time on repos that contain `.kaizen/metrics/`.
+Invokes the kaizen-agentic optimizer CLI per project.
+
+```rule
+id: run-weekly-optimizer
+for_each: context.projects
+bind_as: p
+condition: 'p.has_metrics == true'
+action:
+  task_template: "Run kaizen metrics optimize on {{p.repo}}"
+  description: |
+    cd {{p.root}} && kaizen-agentic metrics optimize
+    Optional: kaizen-agentic metrics publish (when artifact-store configured)
+  target_repo: "{{p.repo}}"
+  priority: medium
+  labels: ["kaizen", "metrics", "optimizer", "automated"]
+```
+
+**Activation:** sync this definition into activity-core via `make sync-activity-definitions`
+after enabling the shell resolver for `discover_kaizen_projects`.
+
+**CLI mapping:** `kaizen-agentic metrics optimize` (no agent filter = all agents with metrics).