CI: Remove workaround for cross-repo file deployments

We can now use the latest checkout action. The guidance from the deploy
action is to now set persist-credentials to false during checkout for
cross-repo deployments.

.github/workflows/manpages.yml

@@ -11,8 +11,9 @@ jobs:
     runs-on: ubuntu-24.04
     if: github.repository == 'SerenityOS/serenity' && github.ref == 'refs/heads/master'
     steps:
-      # FIXME: Update this version once JamesIves/github-pages-deploy-action has a more recent release than v4.7.4.
-      - uses: actions/[email protected]
+      - uses: actions/[email protected]
+        with:
+          persist-credentials: false
 
       - uses: r-lib/actions/setup-pandoc@v2
         with:
@@ -22,7 +23,7 @@ jobs:
         run: ./Meta/build-manpages-website.sh
 
       - name: Deploy to GitHub pages
-        uses: JamesIves/[email protected].4
+        uses: JamesIves/[email protected].6
         with:
           git-config-name: BuggieBot
           git-config-email: [email protected]

.github/workflows/wasm.yml

@@ -15,12 +15,13 @@ jobs:
       fail-fast: false
 
     steps:
-      # FIXME: Update these versions once JamesIves/github-pages-deploy-action has a more recent release than v4.7.4.
       - name: Checkout SerenityOS/serenity
-        uses: actions/[email protected].0
+        uses: actions/[email protected].1
+        with:
+          persist-credentials: false
 
       - name: Checkout SerenityOS/libjs-data libjs-wasm
-        uses: actions/[email protected].0
+        uses: actions/[email protected].1
         with:
           path: libjs-data
           ref: libjs-wasm
@@ -99,7 +100,7 @@ jobs:
           tar --exclude='.[^/]*' -czvf libjs-wasm.tar.gz -C ${{ github.workspace }}/libjs-data .
 
       - name: Deploy to GitHub
-        uses: JamesIves/[email protected].4
+        uses: JamesIves/[email protected].6
         if: github.ref == 'refs/heads/master'
         with:
           git-config-name: BuggieBot