[codex-analytics] plumb protocol-native review timing

[rhan-oai]

Why

We want terminal tool review analytics, but the reducer should not stamp review timing from its own wall clock.

This PR plumbs review timing through the real protocol and app-server seams so the emitter PR can consume those timestamps directly.

What changed

• add started_at_ms to user approval request payloads
• add started_at_ms / completed_at_ms to guardian review notifications
• stamp typed ServerResponse analytics facts with app-server-observed completed_at_ms
• thread the new timing fields through core, protocol, app-server, TUI, and analytics fixtures

Verification

• cargo test -p codex-app-server outgoing_message --manifest-path codex-rs/Cargo.toml
• cargo test -p codex-app-server-protocol guardian --manifest-path codex-rs/Cargo.toml
• cargo test -p codex-tui guardian --manifest-path codex-rs/Cargo.toml
• cargo test -p codex-analytics analytics_client_tests --manifest-path codex-rs/Cargo.toml

---

Stack created with Sapling. Best reviewed with ReviewStack.

• [codex-analytics] emit terminal tool review events #18748
• -> [codex-analytics] plumb protocol-native review timing #21434
• [codex-analytics] add tool review event schema #18747
• [codex-analytics] emit tool item events from item lifecycle #17090
• [codex-analytics] add tool item event schemas #17089
• [codex-analytics] add item lifecycle timing #20514

[chatgpt-codex-connector]

💡 Codex Review

codex/codex-rs/analytics/src/reducer.rs

Lines 326 to 328 in f47e6da

	AnalyticsFact::ServerResponse {
	response: _response,
	} => {}

Include the new server-response timestamp in the pattern

Adding completed_at_ms to AnalyticsFact::ServerResponse leaves this match arm non-exhaustive, so codex-analytics no longer compiles (cargo check -p codex-analytics reports E0027). Ignore or bind the new field here before landing.

ℹ️ About Codex in GitHub

Your team has set up Codex to review pull requests in this repo. Reviews are triggered when you

• Open a pull request for review
• Mark a draft as ready
• Comment "@codex review".

If Codex has suggestions, it will comment; otherwise it will react with 👍.

Codex can also answer questions or update the PR. Try commenting "@codex address that feedback".