TEMP WIP - let's try updating the Rakefile with correct process

.github/workflows/update-documentation.yml

@@ -19,6 +19,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: ${{ inputs.tag }}
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Setup Java
         uses: actions/setup-java@v3
         with:
@@ -42,6 +46,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: ${{ inputs.tag }}
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Setup Java
         uses: actions/setup-java@v3
         with:
@@ -65,6 +73,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: ${{ inputs.tag }}
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Set up Python 3.8
         uses: actions/setup-python@v4
         with:
@@ -91,6 +103,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: ${{ inputs.tag }}
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Install specific version of DocFX tool
         #  Pinning to 2.75.3 to avoid breaking changes in newer versions
         #  See https://github.com/dotnet/docfx/issues/9855
@@ -113,6 +129,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: ${{ inputs.tag }}
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Install npm dependencies
         run: |
           npm install
@@ -136,6 +156,10 @@ jobs:
         uses: actions/checkout@v4
         with:
           ref: 'gh-pages'
+      - name: Get updated Rakefile
+        run: |
+          git fetch origin auto_docs
+          git checkout origin/auto_docs -- Rakefile
       - name: Create and checkout new branch
         run: |
           git config --local user.email "selenium-ci@users.noreply.github.com"