fix: stabilize router e2e workflow

[ScriptedAlchemy]

Summary

• add a router-specific e2e runner that waits for ports, runs tests, and tears down processes
• swap the GitHub Actions router workflow to call the script instead of the inline shell chain
• drop the unused CI wait override to keep behaviour deterministic

Testing

• gh pr checks --watch

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[ScriptedAlchemy]

@codex review pr

[chatgpt-codex-connector]

Codex Review: Didn't find any major issues. Delightful!

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