[codex] Add Warp OSC 9 notification support

[jgershen-oai]

Summary

• Detect Warp sessions via WARP_CLI_AGENT_PROTOCOL_VERSION and select the OSC 9 notification backend when notification method is auto.
• Let Warp receive notification updates even when Codex believes the terminal is focused, since Warp handles notification visibility itself and does not relay focus events to the PTY.
• Port the behavior onto the current codex-rs/tui layout without reintroducing the removed tui_app_server tree.

Context

Warp supports OSC 9 notifications and exposes its CLI agent protocol environment variable in supported sessions. Codex already used OSC 9 for terminals like WezTerm/Ghostty; this extends that path to Warp and avoids suppressing Warp notifications based on focus state.

Testing

• just fmt
• cargo test -p codex-tui
• just argument-comment-lint
• git diff --check

[Copilot]

Pull request overview

Adds Warp terminal support to Codex TUI desktop notifications by detecting Warp sessions via an environment variable and adjusting both backend selection and focus-suppression behavior to match Warp’s focus/visibility model.

Changes:

• Detect Warp sessions via WARP_CLI_AGENT_PROTOCOL_VERSION and prefer OSC 9 when notification method is auto.
• Bypass Codex’s focus-based notification suppression when running under Warp.
• Add a unit test covering auto-selection of OSC 9 for Warp-detected sessions.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 1 comment.

File	Description
codex-rs/tui/src/tui.rs	Adjusts notify() gating so Warp sessions are not suppressed by terminal_focused.
codex-rs/tui/src/notifications/mod.rs	Adds Warp env-var detection, plugs it into OSC 9 capability detection, and expands tests.

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