Improve deploy-docs.yml

* Build only against supported branches and tags
* Move `GH_TOKEN` to the common `env` section

(cherry picked from commit 726a59d)

.github/workflows/deploy-docs.yml

@@ -1,32 +1,40 @@
 name: Deploy Docs
 on:
   push:
-    branches-ignore: [ gh-pages ]
-    tags: '**'
+    branches:
+      - '*.x'
+      - main
+    tags:
+      - '**'
+
   repository_dispatch:
     types: request-build-reference # legacy
   #schedule:
   #- cron: '0 10 * * *' # Once per day at 10am UTC
   workflow_dispatch:
+
 permissions:
   actions: write
+
+env:
+  GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+
 jobs:
-  build:
+  dispatch-docs-build:
     runs-on: ubuntu-latest
     if: github.repository_owner == 'spring-projects'
     steps:
       - name: Checkout
-        uses: actions/checkout@v3
+        uses: actions/checkout@v4
         with:
           ref: docs-build
           fetch-depth: 1
+          show-progress: false
+
       - 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)