Setup GHA environment variables for GH app sync

[Kobzol]

We have to land these on main to make dry-run use them.

[github-actions]

Dry-run check results

[WARN  rust_team::sync] sync-team is running in dry mode, no changes will be applied.
[INFO  rust_team::sync] synchronizing crates-io
[INFO  rust_team::sync] synchronizing github
[INFO  rust_team::sync] 💻 Repo Diffs:
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[marcoieni]

Btw I investigated why the dry run is not empty. It's simply because the PR didn't have the latest updates from main.

[Kobzol]

Ah, right. I guess we should rebase the PR code on top of main in the dry-run workflow.