Auth is not working when GitHub App and GH EE URL configured together

[oldboys92]

Describe the bug

After setting GH_ENTERPRISE_URL and corresponding GitHub APP parameters the issue-metrics action still tries to use GitHub public to login.

After checking the implementation code it seems that the combination of GH EE and GitHub APP is not supported, but the documentation is not clear about this.

To Reproduce

1. Setup GH_ENTERPRISE_URL
2. Setup GH_APP_ID, GH_APP_INSTALLATION_ID and GH_APP_PRIVATE_KEY
3. Start your workflow
4. see the error:

2024-09-11T19:03:22.0564009Z ##[group]Run github/issue-metrics@v3
2024-09-11T19:03:22.0564483Z env:
2024-09-11T19:03:22.0564839Z   last_month: 2024-08-01..2024-08-31
2024-09-11T19:03:22.0565410Z   GH_ENTERPRISE_URL: https://git.example.com/api/v3/
2024-09-11T19:03:22.0566025Z   GH_APP_ID: ***
2024-09-11T19:03:22.0566520Z   GH_APP_INSTALLATION_ID: ***
2024-09-11T19:03:22.0577928Z   GH_APP_PRIVATE_KEY: ***
2024-09-11T19:03:22.0578647Z   SEARCH_QUERY: repo:owner/repo-name is:issue created:2024-08-01..2024-08-31 -reason:"not planned"
2024-09-11T19:03:22.0579394Z ##[endgroup]
2024-09-11T19:03:22.0776388Z ##[command]/usr/local/bin/docker run --name ghcriogithubissue_metricsv3_a7f194 --label 465bd8 --workdir /github/workspace --rm -e "last_month" -e "GH_ENTERPRISE_URL" -e "GH_APP_ID" -e "GH_APP_INSTALLATION_ID" -e "GH_APP_PRIVATE_KEY" -e "SEARCH_QUERY" -e "HOME" -e "GITHUB_JOB" -e "GITHUB_REF" -e "GITHUB_SHA" -e "GITHUB_REPOSITORY" -e "GITHUB_REPOSITORY_OWNER" -e "GITHUB_REPOSITORY_OWNER_ID" -e "GITHUB_RUN_ID" -e "GITHUB_RUN_NUMBER" -e "GITHUB_RETENTION_DAYS" -e "GITHUB_RUN_ATTEMPT" -e "GITHUB_REPOSITORY_ID" -e "GITHUB_ACTOR_ID" -e "GITHUB_ACTOR" -e "GITHUB_TRIGGERING_ACTOR" -e "GITHUB_WORKFLOW" -e "GITHUB_HEAD_REF" -e "GITHUB_BASE_REF" -e "GITHUB_EVENT_NAME" -e "GITHUB_SERVER_URL" -e "GITHUB_API_URL" -e "GITHUB_GRAPHQL_URL" -e "GITHUB_REF_NAME" -e "GITHUB_REF_PROTECTED" -e "GITHUB_REF_TYPE" -e "GITHUB_WORKFLOW_REF" -e "GITHUB_WORKFLOW_SHA" -e "GITHUB_WORKSPACE" -e "GITHUB_EVENT_PATH" -e "GITHUB_PATH" -e "GITHUB_ENV" -e "GITHUB_STEP_SUMMARY" -e "GITHUB_STATE" -e "GITHUB_OUTPUT" -e "GITHUB_ACTION" -e "GITHUB_ACTION_REPOSITORY" -e "GITHUB_ACTION_REF" -e "RUNNER_OS" -e "RUNNER_ARCH" -e "RUNNER_NAME" -e "RUNNER_ENVIRONMENT" -e "RUNNER_TOOL_CACHE" -e "RUNNER_TEMP" -e "RUNNER_WORKSPACE" -e "ACTIONS_RUNTIME_URL" -e "ACTIONS_RUNTIME_TOKEN" -e "ACTIONS_CACHE_URL" -e GITHUB_ACTIONS=true -e CI=true -v "/var/run/docker.sock":"/var/run/docker.sock" -v "/runner/_work/_temp/_github_home":"/github/home" -v "/runner/_work/_temp/_github_workflow":"/github/workflow" -v "/runner/_work/_temp/_runner_file_commands":"/github/file_commands" -v "/runner/_work/test_issue_bot/test_issue_bot":"/github/workspace" ghcr.io/github/issue_metrics:v3
2024-09-11T19:03:28.9219554Z Starting issue-metrics search...
2024-09-11T19:03:29.1252999Z Request failed: 401 Client Error: Unauthorized for url: https://api.github.com/app/installations/***/access_tokens
2024-09-11T19:03:29.3067052Z Traceback (most recent call last):
2024-09-11T19:03:29.3069824Z   File "/action/workspace/issue_metrics.py", line 433, in <module>
2024-09-11T19:03:29.3071230Z     main()
2024-09-11T19:03:29.3072261Z   File "/action/workspace/issue_metrics.py", line 320, in main
2024-09-11T19:03:29.3073579Z     github_connection = auth_to_github(
2024-09-11T19:03:29.3074930Z                         ^^^^^^^^^^^^^^^
2024-09-11T19:03:29.3076020Z   File "/action/workspace/auth.py", line 26, in auth_to_github
2024-09-11T19:03:29.3077183Z     gh.login_as_app_installation(
2024-09-11T19:03:29.3079084Z   File "/usr/local/lib/python3.12/site-packages/github3/github.py", line 1527, in login_as_app_installation
2024-09-11T19:03:29.3080844Z     json = self._json(response, 201)
2024-09-11T19:03:29.3082275Z            ^^^^^^^^^^^^^^^^^^^^^^^^^
2024-09-11T19:03:29.3084336Z   File "/usr/local/lib/python3.12/site-packages/github3/models.py", line 161, in _json
2024-09-11T19:03:29.3086359Z     raise exceptions.error_for(response)
2024-09-11T19:03:29.3088287Z github3.exceptions.AuthenticationFailed: 401 A JSON web token could not be decoded
2024-09-11T19:03:30.0039306Z Post job cleanup.

Expected behavior

Setting GH_ENTERPRISE_URL should trigger the correct usage of the GitHub EE authentication endpoint.

Screenshots

No response

Additional context

No response