[publish] Trigger update workflow on "api" repo after Publish (#9791)

So that we don't need to trigger it manually and/or wait for the cronjob.

.github/workflows/publish.yml

@@ -65,3 +65,11 @@ jobs:
           NPM_TOKEN: ${{ secrets.NPM_TOKEN_ELEVATED }}
           GA_TRACKING_ID: ${{ secrets.GA_TRACKING_ID }}
           SENTRY_DSN: ${{ secrets.SENTRY_DSN }}
+      - name: Trigger Update
+        if: ${{ steps.check-release.outputs.IS_RELEASE == 'true' }}
+        uses: actions/github-script@v6
+        with:
+          github-token: ${{ secrets.GH_TOKEN_PULL_REQUESTS }}
+          script: |
+            const script = require('./utils/trigger-update-workflow.js')
+            await script({ github, context })

utils/trigger-update-workflow.js

@@ -0,0 +1,8 @@
+module.exports = async ({ github, context }) => {
+  await github.rest.actions.createWorkflowDispatch({
+    owner: context.repo.owner,
+    repo: 'api',
+    workflow_id: 'cron-update-build-container.yml',
+    ref: 'main',
+  });
+};