[Feature] Apply pr-gate for all backend's CIs

[hnyls2002]

Currently, most of the run-ci label checking is done via static checks in each workflow, for example:

sglang/.github/workflows/pr-test-rust.yml

Line 75 in 890368c

if: github.event_name != 'pull_request' || contains(github.event.pull_request.labels.*.name, 'run-ci')

This approach has some drawbacks:

• After we disable the labeled trigger for CI workflows, adding a new run-ci label to a PR no longer updates the PR info for existing runs. To pick up the new label, we have to push a new commit. Using the “Re-run” button alone keeps the old (outdated) PR info.
• Other backends’ CI workflows cannot easily reuse the same fine-grained PR gate logic.

To resolve this, we’d like each CI to reuse the shared logic in ./.github/workflows/pr-gate.yml and align their trigger rules with it.

The inputs of pr-gate can be defined with #13491

Progress:

• CUDA CI ([CI] fix triggered by a non-run-ci label #13393)
• AMD CI ([CI] fix triggered by a non-run-ci label #13393)
• Rust / Router CI @slin1237
• XPU CI ([CI] apply pr-gate for XPU #13663)
• XEON CI @ZailiWang
• NPU CI ([NPU] Adapt pr-gate for pr-test workflow & workflows refresh #13567) @iforgetmyname

Better CI failure panel:

• Avoid any direct checking run-ci label in all workflows (the label would not be updated when retriggering)
• Add pr-gate into the finish check's needs.

[github-actions]

This issue has been automatically closed due to inactivity. Please feel free to reopen it if needed.