Usage of `github-token` input is not clearly documented

[aliphys]

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Describe the problem

GitHub Runner does not have access to private repositories, even when the github-token field is set.

To reproduce

As part of a compile-examples workflow, I have a private repository that I want to include in the libraries field.

      - name: Compile examples
        uses: arduino/compile-sketches@v1
        with:
          github-token: ${{ secrets.GITHUB_TOKEN }}
          fqbn: ${{ matrix.board.fqbn }}
          platforms: ${{ matrix.board.platforms }}
          libraries: |
            - source-path: ./
            - name: Arduino_PF1550
            - name: Arduino_LowPowerPortentaH7
            - source-url: https://github.com/arduino-libraries/Arduino_LowPowerPortentaC33.git
            - source-url: https://github.com/bcmi-labs/Arduino_LowPowerNiclaVision.git
          sketch-paths: |
            ${{ env.UNIVERSAL_SKETCH_PATHS }}
            ${{ matrix.board.additional-sketch-paths }}
          enable-deltas-report: true
          sketches-report-path: ${{ env.SKETCHES_REPORTS_PATH }}

As stated in the README section the token is provided to the GitHub API: github-token: ${{ secrets.GITHUB_TOKEN }} https://github.com/arduino/compile-sketches/blob/8ac27e99289705c4abec832089575d687b859227/README.md?plain=1#L210-L214

However, the internal library is not accessible to the GitHub Runner according to the logs.

git.exc.GitCommandError: Cmd('git') failed due to: exit code(128)
  cmdline: git clone -v --depth=1 --recurse-submodules -- https://github.com/bcmi-labs/Arduino_LowPowerNiclaVision.git /tmp/compilesketches-205fms1c/install_from_repository-iu_c__ge
  stderr: 'Cloning into '/tmp/compilesketches-205fms1c/install_from_repository-iu_c__ge'...
fatal: could not read Username for 'https://github.com/': No such device or address
'
Error: Process completed with exit code 1.

Expected behavior

If I enter a private GitHub repository for the source-url key, and I have access to it, then the GitHub Runner should also have access to it and load the library.

'arduino/compile-sketches' version

arduino/compile-sketches@v1

Additional context

No response

Issue checklist

• [X] I searched for previous reports in the issue tracker
• [X] I verified the problem still occurs when using the latest version
• [X] My report contains all necessary details