Migrate deploy-docs to reusable WF from Spring IO

.github/workflows/deploy-docs.yml

@@ -1,32 +1,19 @@
 name: Deploy Docs
+
 on:
   push:
-    branches-ignore: [ gh-pages ]
-    tags: '**'
-  repository_dispatch:
-    types: request-build-reference # legacy
-  schedule:
-  - cron: '0 10 * * *' # Once per day at 10am UTC
+    branches:
+      - '*.x'
+      - main
+    tags:
+      - '**'
+
   workflow_dispatch:
+
 permissions:
   actions: write
+
 jobs:
-  build:
-    runs-on: ubuntu-latest
+  dispatch-docs-build:
     if: github.repository_owner == 'spring-projects'
-    steps:
-    - name: Checkout
-      uses: actions/checkout@v3
-      with:
-        ref: docs-build
-        fetch-depth: 1
-    - name: Dispatch (partial build)
-      if: github.ref_type == 'branch'
-      env:
-        GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-      run: gh workflow run deploy-docs.yml -r $(git rev-parse --abbrev-ref HEAD) -f build-refname=${{ github.ref_name }}
-    - name: Dispatch (full build)
-      if: github.ref_type == 'tag'
-      env:
-        GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-      run: gh workflow run deploy-docs.yml -r $(git rev-parse --abbrev-ref HEAD)
+    uses: spring-io/spring-github-workflows/.github/workflows/spring-deploy-docs.yml@main