feat(lasuite): migrate integration service to La Gaufre v2

Replace the inline gaufre.js/nginx.conf ConfigMap approach with a
purpose-built custom image (sunbeam/integration-service) that builds
the lagaufre.js v2 widget from the suitenumerique/integration source
and serves it via nginx.

Changes:
- Rewrite integration-deployment.yaml: custom image, v2 services.json
  format, only actually-deployed services (docs, meet, people)
- Add people-frontend nginx sub_filter overlay to rewrite the hardcoded
  production integration URL baked into the Next.js bundle at build time
- Register integration image in local overlay kustomization

overlays/local/kustomization.yaml

@@ -12,6 +12,7 @@ kind: Kustomization
 # replace DOMAIN_SUFFIX with <LIMA_IP>.sslip.io before kubectl apply.
 
 resources:
+  - people-frontend-nginx-configmap.yaml
   - ../../base/ingress
   - ../../base/ory
   - ../../base/data
@@ -22,12 +23,17 @@ resources:
   - ../../base/vso
 
 images:
-  # Pulled from our Gitea registry. Built and pushed by: sunbeam.py --build
+  # Pulled from our Gitea registry. Built and pushed by: sunbeam build <target>
   # imagePullPolicy: Always in values-pingora.yaml ensures each rollout pulls fresh.
   - name: sunbeam-proxy
     newName: src.DOMAIN_SUFFIX/studio/sunbeam-proxy
     newTag: latest
 
+  # La Gaufre v2 integration service — lagaufre.js widget + SVG logos + nginx
+  - name: integration
+    newName: src.DOMAIN_SUFFIX/studio/integration
+    newTag: latest
+
   # amd64-only La Suite images — mirrored to our Gitea registry with a patched
   # OCI index that adds an arm64 alias so Rosetta can run them on the Lima VM.
   # DOMAIN_SUFFIX is substituted by local-up.py at deploy time (sed replacement).
@@ -63,5 +69,8 @@ patches:
       kind: Service
       name: livekit-server-turn
 
+  # Rewrite hardcoded production integration URL in people-frontend static build
+  - path: patch-people-frontend-nginx.yaml
+
   # Apply §10.7 memory limits to all Deployments
   - path: values-resources.yaml