actions: remove generate_formulae.brew.sh_data.yml

Closes #54119.

Signed-off-by: BrewTestBot <1589480+BrewTestBot@users.noreply.github.com>

.github/workflows/generate_formulae.brew.sh_data.yml

@@ -1,45 +0,0 @@
-name: Generate formulae.brew.sh data.
-
-on:
-  push:
-    branches:
-      - master
-
-jobs:
-  generate:
-    if: github.repository == 'Homebrew/homebrew-core'
-    runs-on: macos-latest
-    steps:
-      - uses: actions/checkout@master
-      - uses: Homebrew/actions/git-ssh@master
-        with:
-          git_user: BrewTestBot
-          git_email: homebrew-test-bot@lists.sfconservancy.org
-          key: ${{ secrets.FORMULAE_DEPLOY_KEY }}
-      - run: |
-          brew update-reset "$(brew --repository)"
-          brew tap "$GITHUB_REPOSITORY"
-          brew update-reset "$(brew --repository "$GITHUB_REPOSITORY")"
-
-          export PATH="$(brew --repo)/Library/Homebrew/vendor/portable-ruby/current/bin:$PATH"
-
-          git clone --depth=1 git@github.com:Homebrew/formulae.brew.sh
-          cd formulae.brew.sh
-
-          # setup analytics
-          echo "$ANALYTICS_JSON_KEY" > ~/.homebrew_analytics.json
-
-          # run rake (without a rake binary)
-          ruby -e "load Gem.bin_path('rake', 'rake')"
-
-          # commit and push generated files
-          git add _data/formula api/formula formula
-
-          if ! git diff --exit-code HEAD -- _data/analytics _data/formula api/formula formula cask; then
-            git commit -m "formula: update from ${GITHUB_REPOSITORY} push" _data/analytics _data/formula api/formula formula
-            git fetch
-            git rebase origin/master
-            git push
-          fi
-        env:
-          ANALYTICS_JSON_KEY: ${{ secrets.ANALYTICS_JSON_KEY }}