[diagnostics] show diagnostics earlier in workflow (#13604)

<img width="591" height="243" alt="Screenshot 2026-03-05 at 10 17 06 AM"
src="https://github.com/user-attachments/assets/84a6658b-6017-4602-b1f8-2098b9b5eff9"
/>

- show feedback earlier
- preserve raw literal env vars (no trimming, sanitizing, etc.)

codex-rs/feedback/Cargo.toml

@@ -10,7 +10,6 @@ codex-protocol = { workspace = true }
 sentry = { version = "0.46" }
 tracing = { workspace = true }
 tracing-subscriber = { workspace = true }
-url = { workspace = true }
 
 [dev-dependencies]
 pretty_assertions = { workspace = true }