[llvm] [workflows] Avoid usage of access token in issue-write.yml (PR #94011)

[Aiden Grossman via llvm-commits]

https://github.com/boomanaiden154 commented:

Minor nits.

Is there additional context for why this change is needed? I remember seeing something, but can't find it now.

We should also probably figure out what we want to support for downstreams versus what we don't. This is a decent chunk of additional complexity for something that I don't believe has any upstream benefit.

https://github.com/llvm/llvm-project/pull/94011