Prep the WP update workflows to be re-enabled (#110)

## Motivation for the change, related issues

We can update WP in this repo using default GH secrets rather than
bringing our own. This PR changes the WP update workflows to use the
defaults.

## Implementation details

Change the WP update workflows to:
- Persist credentials used to checkout this repo
- Push updates with the same credentials

## Testing Instructions (or ideally a Blueprint)

- CI

---------

Co-authored-by: deployment_bot <[email protected]>

Author: brandonpayton

.github/workflows/refresh-wordpress-major-and-beta.yml

@@ -34,7 +34,7 @@ jobs:
               with:
                   ref: ${{ github.event.pull_request.head.ref }}
                   clean: true
-                  persist-credentials: false
+                  persist-credentials: true
                   submodules: true
             - name: 'Install bun'
               run: |
@@ -59,19 +59,23 @@ jobs:
             - name: Push rebuilt WordPress to GitHub
               if: steps.changes.outputs.COMMIT_CHANGES == '1'
               run: |
+                  # This appears to be necessary because we encountered the build output being owned by root,
+                  # and there are some subdirectories that the runner user cannot access.
+                  sudo chown -R "$(whoami):$(id -gn)" packages/playground/wordpress-builds/public
                   git config --global user.name "deployment_bot"
                   git config --global user.email "[email protected]"
-                  git remote set-url origin https://${{ secrets.GH_ACTOR }}:${{ secrets.GH_TOKEN }}@github.com/${{ github.repository }}
                   git add -A
                   git commit -a -m "Recompile WordPress major and beta versions"
                   git pull --rebase
                   # Push if the pull did not result in a conflict
                   if [ $? -eq 0 ]; then
-                      git push origin HEAD:trunk
+                      git push
                   fi;
             - name: Deploy website
               if: steps.changes.outputs.COMMIT_CHANGES == '1'
               uses: benc-uk/workflow-dispatch@v1
               with:
-                  workflow: build-website.yml
+                  # TODO: Switch back to build-website.yml before merging to public repo
+                  #workflow: build-website.yml
+                  workflow: deploy-private-website.yml
                   token: ${{ secrets.GITHUB_TOKEN }}

.github/workflows/refresh-wordpress-nightly.yml

@@ -27,7 +27,7 @@ jobs:
               with:
                   ref: ${{ github.event.pull_request.head.ref }}
                   clean: true
-                  persist-credentials: false
+                  persist-credentials: true
                   submodules: true
             - uses: ./.github/actions/prepare-playground
             - name: 'Install bun'
@@ -40,11 +40,10 @@ jobs:
               run: |
                   git config --global user.name "deployment_bot"
                   git config --global user.email "[email protected]"
-                  git remote set-url origin https://${{ secrets.GH_ACTOR }}:${{ secrets.GH_TOKEN }}@github.com/${{ github.repository }}
                   git add -A
                   git commit -a -m "Refresh WordPress Nightly"
                   git pull --rebase
                   # Push if the pull did not result in a conflict
                   if [ $? -eq 0 ]; then
-                      git push origin HEAD:trunk
+                      git push
                   fi;