ci: Use release comments action from public repo (#13816)

I extracted the action out into
https://github.com/getsentry/release-comment-issues-gh-action.

.github/workflows/release-comment-issues.yml

@@ -15,19 +15,13 @@ jobs:
     runs-on: ubuntu-20.04
     name: 'Notify issues'
     steps:
-      - name: Check out code
-        uses: actions/checkout@v4
-
-      - name: Install dependencies
-        run: yarn install --frozen-lockfile
-
       - name: Get version
         id: get_version
         run: echo "version=${{ github.event.inputs.version || github.event.release.tag_name }}" >> $GITHUB_OUTPUT
 
       - name: Comment on linked issues that are mentioned in release
         if: steps.get_version.outputs.version != ''
-        uses: ./dev-packages/release-comment-issues-gh-action
+        uses: getsentry/release-comment-issues-gh-action@v1
         with:
           github_token: ${{ secrets.GITHUB_TOKEN }}
           version: ${{ steps.get_version.outputs.version }}

package.json

@@ -93,7 +93,6 @@
     "dev-packages/size-limit-gh-action",
     "dev-packages/clear-cache-gh-action",
     "dev-packages/external-contributor-gh-action",
-    "dev-packages/release-comment-issues-gh-action",
     "dev-packages/rollup-utils"
   ],
   "devDependencies": {