HCE-24: Sync Internal and Public SDK Repos Automatically

.changelog/157.txt

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+```release-note:feature
+Automatically sync the public and internal repos.
+```

.github/workflows/sync-internal-and-public.yml

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+name: Sync Internal and Public Repos
+
+on:
+  workflow_dispatch:
+  workflow_run:
+    workflows: ["Create Release"]
+    types:
+      - completed
+
+jobs:
+  sync-repos:
+    name: Sync Internal and Public Repos
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Public Repo
+        uses: actions/checkout@v3
+        with:
+          fetch-depth: 0
+          token: ${{ secrets.HCP_SDK_PIPELINE_TOKEN }}
+          path: public
+
+      - name: Checkout Internal Repo
+        uses: actions/checkout@v3
+        with:
+          token: ${{ secrets.HCP_SDK_PIPELINE_TOKEN }}
+          repository: hashicorp/hcp-sdk-go-internal
+          path: internal
+
+      - name: Sync Changes
+        run: |
+          # Make a temp directory for the internal repo
+          mkdir temp
+
+          # Remove files from public repo
+          rm -r public/.git public/.changelog public/.github public/clients public/docs public/README.md public/scripts
+          ls -al public
+
+          # Copy important files from internal repo
+          sudo cp -a internal/.git temp/.git
+          cp -a internal/.github temp/.github
+          cp -a internal/clients temp/clients
+          cp -a internal/docs temp/docs
+          cp -a internal/scripts temp/scripts
+          cp internal/README.md temp/README.md
+          cp internal/catalog-info.yaml temp/catalog-info.yaml
+          cp internal/mkdocs.yml temp/mkdocs.yml
+
+          rm -r internal
+          mkdir internal
+
+          # Sync public with internal
+          cp -a public/. internal
+          sudo cp -a temp/. internal
+
+          cd internal
+          git status
+
+      - name: Create Branch
+        run: |
+          cd internal
+          git config user.name "HashiCorp Cloud Services"
+          git config user.email "${{ secrets.HCP_SERVICE_ACCOUNT_EMAIL }}"
+          sync_branch_exists="$(git ls-remote --heads origin sync-public-and-internal-sdk)"
+          [[ -n $sync_branch_exists ]] && git push origin --delete sync-public-and-internal-sdk
+          git checkout -b sync-public-and-internal-sdk
+          git add -A
+          git commit -m "Sync with public SDK"
+          git push --set-upstream origin sync-public-and-internal-sdk
+
+      - name: Open PR
+        run: |
+          cd internal
+          gh pr create --title "$PR_TITLE" --body "$PR_BODY" -H "$PR_SOURCE" -B "$PR_TARGET"
+        env:
+          PR_TITLE: "[auto] Sync with Public SDK"
+          PR_BODY: "This is an auto-generated PR updating the internal SDK with the latest changes from the open source SDK. Client changes are excluded."
+          PR_SOURCE: "sync-public-and-internal-sdk"
+          PR_TARGET: "main"
+          GITHUB_TOKEN: ${{ secrets.HCP_SDK_PIPELINE_TOKEN }}