Remove old publishing workflow

Signed-off-by: Jack Baldry <jack.baldry@grafana.com>

.github/workflows/publish_docs.yml

@@ -1,40 +0,0 @@
-name: publish_docs
-
-on:
-  pull_request:
-  push:
-    branches:
-      - main
-    paths:
-      - 'docs/sources/**'
-
-jobs:
-  test:
-    runs-on: ubuntu-latest
-    steps:
-      - name: Check out code
-        uses: actions/checkout@v1
-      - name: Build Website
-        run: |
-          docker run -v ${PWD}/sources:/hugo/content/docs/amixr --rm grafana/docs-base:latest /bin/bash -c 'make hugo'
-  sync:
-    runs-on: ubuntu-latest
-    needs: test
-    if: github.ref == 'refs/heads/main'
-    steps:
-      - uses: actions/checkout@v1
-      - run: git clone --single-branch --no-tags --depth 1 -b master https://grafanabot:${{ secrets.GH_BOT_ACCESS_TOKEN }}@github.com/grafana/website-sync ./.github/actions/website-sync
-      - name: publish-to-git
-        uses: ./.github/actions/website-sync
-        id: publish
-        with:
-          repository: grafana/website
-          branch: master
-          host: github.com
-          github_pat: '${{ secrets.GH_BOT_ACCESS_TOKEN }}'
-          source_folder: docs/sources
-          target_folder: content/docs/amixr/v0.0.39
-      - shell: bash
-        run: |
-          test -n "${{ steps.publish.outputs.commit_hash }}"
-          test -n "${{ steps.publish.outputs.working_directory }}"