Make divisions.json the source of truth + enforce in CI

divisions.json now drives the division set. Add scripts/check-divisions.sh
(CI: check-divisions.yml, runs on every PR with no path filter) which fails
if divisions.json disagrees with the directories on disk, the AGENT_DIRS
arrays in convert.sh / lint-agents.sh, or the lint-agents.yml path filters,
or if any entry lacks label/icon/color.

Fixes pre-existing drift surfaced by the new check: integrations was missing
from convert.sh and lint-agents.sh; integrations and strategy were missing
from lint-agents.sh and the lint workflow (so those agents weren't being
linted at all).

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

.github/workflows/check-divisions.yml

@@ -0,0 +1,20 @@
+name: Check Divisions Consistency
+
+# Runs on every PR (no path filter on purpose): a new division directory must
+# trip this check even when nobody touched divisions.json or the lint config.
+on:
+  pull_request:
+  push:
+    branches: [main]
+
+jobs:
+  check-divisions:
+    name: divisions.json is the single source of truth
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Validate division set
+        run: |
+          chmod +x scripts/check-divisions.sh
+          ./scripts/check-divisions.sh

.github/workflows/lint-agents.yml

@@ -9,6 +9,7 @@ on:
       - "finance/**"
       - "game-development/**"
       - "gis/**"
+      - "integrations/**"
       - "marketing/**"
       - "paid-media/**"
       - "sales/**"
@@ -19,6 +20,7 @@ on:
       - "support/**"
       - "spatial-computing/**"
       - "specialized/**"
+      - "strategy/**"
 
 jobs:
   lint:
@@ -33,9 +35,9 @@ jobs:
         id: changed
         run: |
           FILES=$(git diff --name-only --diff-filter=ACMR origin/${{ github.base_ref }}...HEAD -- \
-            'academic/**/*.md' 'design/**/*.md' 'engineering/**/*.md' 'finance/**/*.md' 'game-development/**/*.md' 'gis/**/*.md' 'marketing/**/*.md' 'paid-media/**/*.md' 'sales/**/*.md' 'security/**/*.md' 'product/**/*.md' \
+            'academic/**/*.md' 'design/**/*.md' 'engineering/**/*.md' 'finance/**/*.md' 'game-development/**/*.md' 'gis/**/*.md' 'integrations/**/*.md' 'marketing/**/*.md' 'paid-media/**/*.md' 'sales/**/*.md' 'security/**/*.md' 'product/**/*.md' \
             'project-management/**/*.md' 'testing/**/*.md' 'support/**/*.md' \
-            'spatial-computing/**/*.md' 'specialized/**/*.md')
+            'spatial-computing/**/*.md' 'specialized/**/*.md' 'strategy/**/*.md')
           {
             echo "files<<ENDOFLIST"
             echo "$FILES"