[CI][Dev] `crossbow submit` can't write a comment to the target PR

[kou]

Describe the bug, including details regarding any error messages, version, and platform.

For example: #44644 (comment)

https://github.com/apache/arrow/actions/runs/11695290046/job/32570819451#step:5:30

Request POST /repos/apache/arrow/issues/44644/comments failed with 403: Forbidden
INFO:github.GithubRetry:Request POST /repos/apache/arrow/issues/44644/comments failed with 403: Forbidden
ERROR:archery:403 {"message": "Resource not accessible by integration", "documentation_url": "https://docs.github.com/rest/issues/comments#create-an-issue-comment", "status": "403"}

Component(s)

Continuous Integration, Developer Tools

[assignUser]

Issue resolved by pull request 44658
#44658