chore(core): publish docs when nx release runs (#19568)

Co-authored-by: James Henry <james@henry.sc>

.github/workflows/publish.yml

@@ -234,6 +234,12 @@ jobs:
           git checkout -b publish/$GITHUB_REF_NAME
           npm config set //registry.npmjs.org/:_authToken=$NPM_TOKEN
           pnpm nx-release --local=false $GITHUB_REF_NAME
+      - name: Trigger Docs Release
+        if: ${{ !github.event.release.prerelease }}
+        run: |
+          # We force recreate the branch in order to always be up to date and avoid merge conflicts within the automated workflow
+          git branch -f website
+          git push -f origin website
     env:
       GH_TOKEN: ${{ github.token }}
       NPM_TOKEN: ${{ secrets.NPM_TOKEN }}