AVRO-4233: [ci] Remove explicit GITHUB_TOKEN (#3659)

* AVRO-4233: [ci] Remove explicit GITHUB_TOKEN

* Try with `pull_request`

* Restore pull_request_target

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Co-authored-by: Martin Grigorov <martin-g@users.noreply.github.com>

Author: RyanSkraba

.github/workflows/labeler.yml

@@ -28,5 +28,4 @@ jobs:
     steps:
     - uses: actions/labeler@v6
       with:
-        repo-token: "${{ secrets.GITHUB_TOKEN }}"
         sync-labels: true