Harmonize GitHub Actions structure

This commit harmonizes the order of elements, in particular the settings
of the deploy step. It also adds the ability to build against a
different distribution than liberica.

Closes gh-41457

.github/workflows/trigger-docs-build.yml

@@ -8,8 +8,8 @@ permissions:
 jobs:
   trigger-docs-build:
     name: Trigger Docs Build
-    if: github.repository_owner == 'spring-projects'
     runs-on: ubuntu-latest
+    if: github.repository_owner == 'spring-projects'
     steps:
     - name: Check Out
       uses: actions/checkout@v4